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December 2004 Zeta Regularized Product Expressions for Multiple Trigonometric Functions
Nobushige KUROKAWA, Masato WAKAYAMA
Tokyo J. Math. 27(2): 469-480 (December 2004). DOI: 10.3836/tjm/1244208402

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.

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Nobushige KUROKAWA. Masato WAKAYAMA. "Zeta Regularized Product Expressions for Multiple Trigonometric Functions." Tokyo J. Math. 27 (2) 469 - 480, December 2004. https://doi.org/10.3836/tjm/1244208402

Information

Published: December 2004
First available in Project Euclid: 5 June 2009

zbMATH: 1065.11066
MathSciNet: MR2107596
Digital Object Identifier: 10.3836/tjm/1244208402

Subjects:
Primary: 11M36
Secondary: 11M06

Rights: Copyright © 2004 Publication Committee for the Tokyo Journal of Mathematics

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Vol.27 • No. 2 • December 2004
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