Regularizations and finite ladders in multiple trigonometry

Nobushige Kurokawa; Masato Wakayama

doi:10.2969/jmsj/1150287310

Regularizations and finite ladders in multiple trigonometry

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We provide an extended interpretation of the zeta regularized product in [D]. This allows us to get regularized product expressions of Hölder's double sine function and its companion, i.e. the double and triple trigonometric functions. The expressions may reasonably explain the ladder structure among these multiple trigonometric functions. We also introduce the notion of finite ladders of functions which helps us understand the meaning behind these regularizations.

Original language	English
Pages (from-to)	1197-1216
Number of pages	20
Journal	Journal of the Mathematical Society of Japan
Volume	57
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/1150287310
Publication status	Published - Oct 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.2969/jmsj/1150287310

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author = "Nobushige Kurokawa and Masato Wakayama",

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AB - We provide an extended interpretation of the zeta regularized product in [D]. This allows us to get regularized product expressions of Hölder's double sine function and its companion, i.e. the double and triple trigonometric functions. The expressions may reasonably explain the ladder structure among these multiple trigonometric functions. We also introduce the notion of finite ladders of functions which helps us understand the meaning behind these regularizations.

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Regularizations and finite ladders in multiple trigonometry

Abstract

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