0 infty - Robuta Search

https://mathoverflow.net/questions/366484/how-to-prove-that-sum-m-0-infty-gamma-12m-alpha-over-gamma1 pr.probability - How to prove that $ \sum_{m=0}^{\infty} { \Gamma\{(1+2m)/\alpha\}\over... I would love to prove the following inequality $$ {1\over \sqrt{\pi} } \sum_{m=0}^{\infty} \Gamma\{(1+2m)/\alpha\} { (-t^2)^{m}\over (2m) !}=$$ $$... pr probability 0 infty 1 2m prove sum https://mathoverflow.net/posts/366302/timeline Timeline for Prove $\int_{0}^{\infty} \cos(\omega x) \exp(-x^{\alpha}) \, {\rm d} x \ge {\alpha^2... int 0 omega x ge 2 timeline prove https://mathoverflow.net/questions/366302/prove-int-0-infty-cos-omega-x-exp-x-alpha-rm-d-x-ge-alp pr.probability - Prove $\int_{0}^{\infty} \cos(\omega x) \exp(-x^{\alpha}) \, {\rm d} x \ge... I would like to prove that $$\int_{0}^{\infty} \cos(\omega x) \exp(-x^{\alpha}) \, {\rm d} x \ge {\alpha^2 \sqrt{\pi} \over 8} \exp \left( -\frac{\omega^2}{4}... pr probability int 0 omega x prove infty