A new approach to hypergeometric transformation formulas

We give a new method to prove in a uniform and easy way various transformation formulas for Gauss hypergeometric functions. The key is Jacobi’s canonical form of the hypergeometric differential equation. Analogy for q -hypergeometric functions is also studied.

Uložené v:

Podrobná bibliografia
Vydané v:	The Ramanujan journal Ročník 55; číslo 2; s. 793 - 816
Hlavný autor:	Otsubo, Noriyuki
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.06.2021 Springer Nature B.V
Predmet:	Canonical forms Combinatorics Differential equations Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Hypergeometric functions Mathematics Mathematics and Statistics Number Theory Transformations (mathematics) Hypergeometric functions Basic hypergeometric functions Transformation formulas 33C05 33D15
ISSN:	1382-4090, 1572-9303
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Buďte prvý, kto okomentuje tento záznam!