Some new sums of q -trigonometric and related functions through a theta product of Jacobi

Mohamed El Bachraoui; Jozsef Sandor

doi:10.1142/S1793042120500931

Some new sums of q -trigonometric and related functions through a theta product of Jacobi

Mohamed El Bachraoui, Jozsef Sandor

Department of Mathematical Sciences

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

Abstract

We evaluate some finite and infinite sums involving q-trigonometric and q-digamma functions. Upon letting q approach 1, one obtains corresponding sums for the classical trigonometric and the digamma functions. Our key argument is a theta product formula of Jacobi and Gosper's q-trigonometric identities.

Original language	English
Pages (from-to)	1803-1817
Number of pages	15
Journal	International Journal of Number Theory
Volume	16
Issue number	8
DOIs	https://doi.org/10.1142/S1793042120500931
Publication status	Published - Sept 1 2020

Keywords

q -digamma function
q -trigonometric functions
transcendence

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S1793042120500931

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abstract = "We evaluate some finite and infinite sums involving q-trigonometric and q-digamma functions. Upon letting q approach 1, one obtains corresponding sums for the classical trigonometric and the digamma functions. Our key argument is a theta product formula of Jacobi and Gosper's q-trigonometric identities.",

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Some new sums of q -trigonometric and related functions through a theta product of Jacobi

Abstract

Keywords

ASJC Scopus subject areas

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