Zeta regularized product expressions for multiple trigonometric functions

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We introduce a multiple analogue of the gamma function which differs from the one defined by Barnes [B]. Using this function, we give expressions of the multiple sine and cosine functions in terms of zeta regularized products. The expression of the multiple sine function can be interpreted as a reflection formula of this new multiple analogue of the gamma function.

Original languageEnglish
Pages (from-to)469-480
Number of pages12
JournalTokyo Journal of Mathematics
Volume27
Issue number2
DOIs
Publication statusPublished - Jan 1 2004

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Gamma function
Circular function
Multiple Sine Function
Analogue

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Zeta regularized product expressions for multiple trigonometric functions. / Kurokawa, Nobushige; Wakayama, Masato.

In: Tokyo Journal of Mathematics, Vol. 27, No. 2, 01.01.2004, p. 469-480.

Research output: Contribution to journalArticle

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