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https://functions.wolfram.com/EllipticFunctions/EllipticTheta1/18/01/09/0008/
Jacobi theta function: Identities involving the group of functions (formula 09.01.18.0088)
Identities involving the group of functions
jacobi theta functiongroup ofidentitiesinvolvingfunctions
https://functions.wolfram.com/EllipticFunctions/EllipticTheta3/27/01/01/03/0003/
Jacobi theta function: Representations through equivalent functions (formula 09.03.27.0002)
Representations through equivalent functions
jacobi theta functionrepresentationsequivalentfunctionsformula
https://functions.wolfram.com/EllipticFunctions/EllipticTheta1/18/01/03/05/0006/
Jacobi theta function: Identities involving the group of functions (formula 09.01.18.0038)
Identities involving the group of functions
jacobi theta functiongroup ofidentitiesinvolvingfunctions