On q-basic multiple gamma functions

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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
Issue number8
Publication statusPublished - Oct 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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