Transformation Formulas and Three-Term Relations for Basic Hypergeometric Series
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- Yamaguchi Yuka
- University of Miyazaki
抄録
<p>We derive two generalizations of Gasper's transformation formula for basic hypergeometric series. Using these generalized transformation formulas, we give explicit expressions for the coefficients of three-term relations for the basic hypergeometric series 2φ1, which are generalizations of the author's previous results on three-term relations for 2φ1. These generalized three-term relations involve multiplying the variable of one of the three 2φ1 by a power of q. Also, as corollaries of the generalizations of Gasper's transformation formula, we derive a few generalizations of Gasper's summation formulas for basic hypergeometric series.</p>
収録刊行物
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- Funkcialaj Ekvacioj
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Funkcialaj Ekvacioj 65 (1), 35-61, 2022-04-15
日本数学会函数方程式論分科会
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詳細情報 詳細情報について
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- CRID
- 1390855057402854272
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- ISSN
- 05328721
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
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- 抄録ライセンスフラグ
- 使用不可