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arXiv · 1609.06895

Short proofs for $q$-Raabe formula and integrals for Jacobi theta functions

Mohamed El Bachraoui
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Abstract

We shall answer a question of Mez\H{o} on the $q$-analogue of the Raabe's integral formula for $0<q<1$ and we shall evaluate an integral involving the first theta function. Moreover, we will reproduce short proofs for some identities of Mez\H{o}.

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Mohamed El Bachraoui. 2016-09-22. Short proofs for $q$-Raabe formula and integrals for Jacobi theta functions. https://arxiv.org/abs/1609.06895

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