Short proofs for qq-Raabe formula and integrals for Jacobi theta functions

preprint2016arXivOpen access

Abstract

We shall answer a question of Mező on the qq-analogue of the Raabe's integral formula for 0<q<10<q<1 and we shall evaluate an integral involving the first theta function. Moreover, we will reproduce short proofs for some identities of Mező.

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