Period deformations and Raabe's formulas for generalized gamma and sine functions

Nobushige Kurokawa, Masato Wakayama

研究成果: Contribution to journalArticle査読

9 被引用数 (Scopus)

抄録

Deformations of the multiple gamma and sine functions with respect to their periods are studied. To describe such deformations explicitly, a new class of generalized gamma and sine functions are introduced. In particular, we study the deformations from the viewpoint of multiplication formulas and Raabe's integral formulas for thesé gamma and sine functions. This new class of gamma functions contains Milnor's type multiple gamma functions as a special case.

本文言語英語
ページ(範囲)171-187
ページ数17
ジャーナルKyushu Journal of Mathematics
62
1
DOI
出版ステータス出版済み - 6 18 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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