A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$
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Publication:6500202
DOI10.1007/S11139-023-00812-3MaRDI QIDQ6500202
Publication date: 10 May 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric integrals and functions defined by them (33D60) Bibasic functions and multiple bases (33D65)
Cites Work
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- On the Sears-Slater basic hypergeometric transformations
- A Proof of Ramanujan’s Identity by Use of Loop Integrals
- Transformations of Basic Hypergeometric Functions of any Order
- GENERAL TRANSFORMATIONS OF BILATERAL SERIES
- Yet another proof of Ramanujan’s ₁𝜓₁ sum
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