Regularizations and finite ladders in multiple trigonometry

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)1197-1216
Number of pages20
JournalJournal of the Mathematical Society of Japan
Issue number4
Publication statusPublished - Oct 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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