On q-basic multiple gamma functions

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We define a q-analogue of the basic multiple gamma function double struck G singm(x) introduced in [17] which differs from the one defined by Barnes via the zeta regularized product. We call it a q-basic multiple gamma function. Using this q-basic multiple Gamma function we introduce a q-analogue of the multiple sine function of order m+1. We study properties of such functions from the periodicity, differential-difference equations and duplication formulas, etc. points of view.

Original languageEnglish
Pages (from-to)885-902
Number of pages18
JournalInternational Journal of Mathematics
Volume14
Issue number8
DOIs
Publication statusPublished - Oct 1 2003

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Multiple gamma Function
Q-analogue
Multiple Sine Function
Differential-difference Equations
Duplication
Periodicity

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

On q-basic multiple gamma functions. / Kurokawa, Nobushige; Wakayama, Masato.

In: International Journal of Mathematics, Vol. 14, No. 8, 01.10.2003, p. 885-902.

Research output: Contribution to journalArticle

Kurokawa, Nobushige ; Wakayama, Masato. / On q-basic multiple gamma functions. In: International Journal of Mathematics. 2003 ; Vol. 14, No. 8. pp. 885-902.
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