A simple proof of Ramanujan's summation of the1ψ1

George E. Andrews; Richard Askey

doi:10.1007/BF03031684

A simple proof of Ramanujan's summation of the₁ψ₁

George E. Andrews, Richard Askey

Mathematics

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

A simple proof by functional equations is given for Ramanujan's₁ψ₁ sum. Ramanujan's sum is a useful extension of Jacobi's triple product formula, and has recently become important in the treatment of certain orthogonal polynomials defined by basic hypergeometric series.

Original language	English (US)
Pages (from-to)	333-337
Number of pages	5
Journal	Aequationes Mathematicae
Volume	18
Issue number	1-2
DOIs	https://doi.org/10.1007/BF03031684
State	Published - Feb 1978

All Science Journal Classification (ASJC) codes

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

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abstract = "A simple proof by functional equations is given for Ramanujan's1ψ1 sum. Ramanujan's sum is a useful extension of Jacobi's triple product formula, and has recently become important in the treatment of certain orthogonal polynomials defined by basic hypergeometric series.",

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A simple proof of Ramanujan's summation of the₁ψ₁

Abstract

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