- 著者
- Nobushige KUROKAWA Masato WAKAYAMA
- 出版者
- Faculty of Mathematics, Kyushu University
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.62, no.1, pp.171-187, 2008 (Released:2008-05-22)
- 参考文献数
- 16
- 被引用文献数
- 5 7
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 these gamma and sine functions. This new class of gamma functions contains Milnor's type multiple gamma functions as a special case.
- 著者
- Shai HARAN Nobushige KUROKAWA Masato WAKAYAMA
- 出版者
- 九州大学大学院数理学研究院
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.61, no.2, pp.551-563, 2007 (Released:2008-01-22)
- 参考文献数
- 6
- 被引用文献数
- 1 2
This note studies a q-analogue of Mellin's transform of a modular form via Jackson's integral.