Identities for sums of a q-analogue of polylogarithm functions

Toufik Mansour

doi:10.1007/s11005-008-0290-3

Identities for sums of a q-analogue of polylogarithm functions

Toufik Mansour

Department of Mathematics

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

Abstract

A q-analogue of the polylogarithm function is introduced via a consideration of the spectral zeta-function of the quantum group SU _q (2). We derive certain identities for linear and non-linear combinations of the q-analogue of polylogarithm functions with negative exponents.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Letters in Mathematical Physics
Volume	87
Issue number	1-2
DOIs	https://doi.org/10.1007/s11005-008-0290-3
State	Published - Feb 2009

Keywords

Q-identities
Q-polylogarithm functions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-008-0290-3

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abstract = "A q-analogue of the polylogarithm function is introduced via a consideration of the spectral zeta-function of the quantum group SU q (2). We derive certain identities for linear and non-linear combinations of the q-analogue of polylogarithm functions with negative exponents.",

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AB - A q-analogue of the polylogarithm function is introduced via a consideration of the spectral zeta-function of the quantum group SU q (2). We derive certain identities for linear and non-linear combinations of the q-analogue of polylogarithm functions with negative exponents.

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Identities for sums of a q-analogue of polylogarithm functions

Abstract

Keywords

ASJC Scopus subject areas

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