Differential Algebraicity of the Multiple Elliptic Gamma Function for a Rational Period
-
- Kato Masaki
- National Institute of Technology, Toyama College
抄録
<p>The multiple elliptic gamma function includes q-analogues of the multiple sine function, introduced by Kurokawa. Thus it is natural to consider whether properties of the multiple sine function can be extended to that of the multiple elliptic gamma function. Kurokawa and Wakayama showed that, when the period is "rational", the multiple sine function satisfies an algebraic differential equation. In this paper, we investigate the differential algebraicity of the multiple elliptic gamma function. We show that the multiple elliptic gamma function Gr(z, τ) satisfies an algebraic differential equation when the period τ is "rational".</p>
収録刊行物
-
- Funkcialaj Ekvacioj
-
Funkcialaj Ekvacioj 64 (2), 225-235, 2021-08-15
日本数学会函数方程式論分科会
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1390289243509165056
-
- NII論文ID
- 130008083374
-
- ISSN
- 05328721
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可