Short proofs for $q$-Raabe formula and integrals for Jacobi theta functions
Number Theory
2016-09-23 v1
Abstract
We shall answer a question of Mez\H{o} on the -analogue of the Raabe's integral formula for and we shall evaluate an integral involving the first theta function. Moreover, we will reproduce short proofs for some identities of Mez\H{o}.
Cite
@article{arxiv.1609.06895,
title = {Short proofs for $q$-Raabe formula and integrals for Jacobi theta functions},
author = {Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:1609.06895},
year = {2016}
}