Robuta

https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/22/49/0005/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bmyk) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/04/05/01/01/0008/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.akyh) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric4F3/21/02/01/ Generalized hypergeometric function 4F3: Integration (subsection 21/02/01) For the direct function itself (1 formula) generalizedhypergeometricfunctionintegrationsubsection https://arxiv.org/abs/1512.04452 [1512.04452] On a relation between certain $q$-hypergeometric series and Maass waveforms Abstract page for arXiv paper 1512.04452: On a relation between certain $q$-hypergeometric series and Maass waveforms https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/10/24/0006/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bcn8) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/02/05/03/06/0002/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.ab8t) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/07/22/0003/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b9vu) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/03/11/0016/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.a8cd) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/27/03/0036/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.af4b) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/HypergeometricU/03/02/14/0038/ Tricomi confluent hypergeometric function: Specific values (formula 07.33.03.0684) confluenthypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/29/06/0028/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.ag43) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/03/22/0002/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.aonx) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/03/13/03/0008/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.4291) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/01/03/02/08/ Generalized hypergeometric function 3F2: Specific values (subsection 03/08/01/03/02/08) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/09/09/15/0004/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.aha6) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/03/52/0020/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.aozh) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric5F4/03/02/05/0002/ Generalized hypergeometric function 5F4: Specific values (formula 07.29.03.0008) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/05/04/05/03/0006/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.aob5) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/27/46/0010/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bqnk) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/07/12/12/0010/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.aegr) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/13/22/11/0005/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.c8ls) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/01/54/0004/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.ao67) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/02/02/09/01/ShowAll.html Generalized hypergeometric function 3F2: Specific values (subsection 03/08/02/02/09/01) https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/13/11/30/0017/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.c3rq) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/04/02/02/06/0003/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.ajcr) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/28/06/ShowAll.html Gauss hypergeometric function 2F1: Specific values (subsection 03/09/28/06) gausshypergeometricfunctionspecific https://arblib.org/arb_hypgeom.html arb_hypgeom.h – hypergeometric functions of real variables — Arb 2.23.0 documentation https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/21/02/02/0001/ Generalized hypergeometric function 2F2: Integration (formula 07.25.21.0006) generalizedhypergeometricfunctionintegrationformula https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/13/11/13/0004/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.c3dr) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/04/15/16/0004/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a8nt) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/34/20/0041/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bvo6) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/01/24/0003/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.anv4) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/08/01/ Generalized hypergeometric function 1F2: Specific values (subsection 03/04/08/01) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/23/04/ Generalized hypergeometric function 1F2: Specific values (subsection 03/04/23/04) generalizedhypergeometricfunctionspecificvalues https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/01/03/03/07/0002/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.3787) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/01/08/03/04/0001/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.8390) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/03/06/01/01/0007/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.ah3e) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/03/05/10/ShowAll.html Generalized hypergeometric function 1F2: Specific values (subsection 03/03/05/10) generalizedhypergeometricfunctionspecificvalues https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/09/03/02/05/ShowAll.html Generalized hypergeometric function 3F2: Specific values (subsection 03/08/09/03/02/05) https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/17/19/ Gauss hypergeometric function 2F1: Specific values (subsection 03/10/17/19) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/05/04/02/06/0007/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.0468) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/06/12/08/0003/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.acec) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/15/18/0014/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.ag61) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/08/01/01/06/0002/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.0691) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/13/05/37/0031/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.c0dt) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/31/11/0047/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.amiy) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/37/01/0009/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.and5) gausshypergeometricfunctionspecific https://kr.mathworks.com/help/stats/hygecdf.html hygecdf - Hypergeometric cumulative distribution function - MATLAB This MATLAB function returns the cumulative distribution function (cdf) of the hypergeometric distribution, evaluated at the values in x, using the... hypergeometriccumulativedistributionfunctionmatlab https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/33/30/0008/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.buwd) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/07/10/05/0014/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ae2e) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/21/37/0037/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.blpn) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/10/74/0017/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bdd4) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/01/41/0004/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b52j) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/HypergeometricU/03/02/03/0001/ Tricomi confluent hypergeometric function: Specific values (formula 07.33.03.0158) confluenthypergeometricfunctionspecific https://experts.umn.edu/en/publications/euler-mellin-integrals-and-a-hypergeometric-functions/ Euler-Mellin integrals and A-hypergeometric functions - Experts@Minnesota and aeulermellinintegralshypergeometric https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/01/02/01/0015/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0220) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/03/03/05/02/0003/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.afkx) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/06/07/20/0001/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.0688) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/17/02/01/0003/ Generalized hypergeometric function 1F2: Identities (formula 07.22.17.0007) generalizedhypergeometricfunctionidentitiesformula https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/27/04/0006/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.af4t) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/10/19/ Gauss hypergeometric function 2F1: Specific values (subsection 03/10/10/19) gausshypergeometricfunctionspecificvalues https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/33/19/0023/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.buoj) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/41/03/0007/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b2xg) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/03/12/12/ Generalized hypergeometric function 2F2: Specific values (subsection 03/03/03/12/12) generalizedhypergeometricfunctionspecificvalues https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/06/05/13/0005/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.abd7) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/03/14/05/0022/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.4681) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/30/10/0009/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bs92) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/06/22/0004/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.apwm) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/08/28/01/0010/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.8891) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/14/03/05/0003/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.am6z) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric0F1Regularized/20/01/01/0005/ Regularized confluent hypergeometric function 0F1: Differentiation (formula 07.18.20.0013) confluenthypergeometricfunction https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/20/04/0011/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.ainn) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/01/84/0028/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b5ua) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/03/10/07/ Generalized hypergeometric function 1F2: Specific values (subsection 03/03/10/07) generalizedhypergeometricfunctionspecificvalues https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/09/15/06/0010/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.afw0) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/03/07/02/06/0001/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.ahov) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/41/03/0012/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b2xl) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/06/13/01/0016/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.acgd) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/12/06/11/0010/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.akrt) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F2/03/03/15/02/02/0014/ Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.amqp) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/13/30/06/0008/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.cbbt) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/04/05/0016/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.7179) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/10/22/0001/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.arlw) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/03/07/10/ Generalized hypergeometric function 1F2: Specific values (subsection 03/03/07/10) generalizedhypergeometricfunctionspecificvalues https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/13/01/19/0008/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bxmv) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/19/47/0010/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bkde) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/04/07/01/10/0004/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.alsd) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/08/21/0001/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bayp) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/04/08/01/04/0006/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.am08) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/21/02/0010/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bl49) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/03/02/04/05/0016/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.aer1) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/36/04/0001/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bwiw) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric3F2/03/08/04/04/02/08/0002/ Generalized hypergeometric function 3F2: Specific values (formula 07.27.03.akly) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/22/07/0038/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.ad1p) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/09/34/0004/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bbmk) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/22/06/0026/ Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.ad01) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/12/15/35/0025/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.bgpl) gausshypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/HypergeometricPFQRegularized/04/03/ Regularized generalized hypergeometric function: General characteristics (subsection 04/03) Symmetries and periodicities (3 formulas) generalizedhypergeometricfunctioncharacteristicssubsection https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric1F2/03/04/06/08/ Generalized hypergeometric function 1F2: Specific values (subsection 03/04/06/08) generalizedhypergeometricfunctionspecific https://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/03/10/05/25/0023/ Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.apip) gausshypergeometricfunctionspecific