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

Mohamed El Bachraoui

doi:10.1016/j.jnt.2016.09.028

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

Mohamed El Bachraoui

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We shall answer a question of Mező 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 Mező.

Original language	English
Pages (from-to)	614-620
Number of pages	7
Journal	Journal of Number Theory
Volume	173
DOIs	https://doi.org/10.1016/j.jnt.2016.09.028
Publication status	Published - Apr 1 2017

Keywords

Raabe-formula
Theta functions
q-Gamma function
q-Loggamma function

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2016.09.028

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title = "Short proofs for q-Raabe formula and integrals for Jacobi theta functions",

abstract = "We shall answer a question of Mez{\H o} on the q-analogue of the Raabe's integral formula for 0",

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author = "{El Bachraoui}, Mohamed",

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

Abstract

Keywords

ASJC Scopus subject areas

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