A Simple Proof of Ramanujan's Summation of the sub 1 psi sub 1.

Abstract

A simple proof by functional equations is given for Ramanujan's sub 1 psi sub 1 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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA031939

Entities

People

  • George E. Andrews
  • Richard Askey

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • Analytic Functions
  • Binomials
  • Complex Variables
  • Contracts
  • Equations
  • Functions (Mathematics)
  • Hypergeometric Functions
  • Identities
  • Mathematics
  • Military Research
  • New York
  • Polynomials
  • Sequences
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Linear Algebra