Open Access
May 2004 Derivatives of multiple sine functions
Nobushige Kurokawa
Proc. Japan Acad. Ser. A Math. Sci. 80(5): 65-69 (May 2004). DOI: 10.3792/pjaa.80.65


We calculate derivatives of multiple sine functions to investigate coefficients appearing in the addition type formula. We present explicit expressions and we obtain an interesting modular form.


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Nobushige Kurokawa. "Derivatives of multiple sine functions." Proc. Japan Acad. Ser. A Math. Sci. 80 (5) 65 - 69, May 2004.


Published: May 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1061.11047
MathSciNet: MR2062803
Digital Object Identifier: 10.3792/pjaa.80.65

Primary: 11M06

Keywords: Multiple gamma function , Multiple sine function , Stirling modular form , zeta function

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 5 • May 2004
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