Regularizations and finite ladders in multiple trigonometry

Nobushige Kurokawa, Masato Wakayama

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)1197-1216
ページ数20
ジャーナルJournal of the Mathematical Society of Japan
57
4
DOI
出版ステータス出版済み - 10 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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