Ramanujan's remarkable summation formula and an interesting convolution identity

DOI10.1017/S0004972700012351zbMath0797.11077MaRDI QIDQ4287873

No author found.

Publication date: 20 October 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convolution identityRamanujan's summationgeneralised Frobenius partition functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytic theory of partitions (11P82) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

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• Ramanujan's Extensions of the Gamma and Beta Functions
• Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
• Ramanujan's Notebooks
• Shorter Notes: On Ramanujan's Summation of 1 ψ 1 (a; b; z)
• On a Transformation of Bilateral Series with Applications
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• On Lerch's Transcendant and the Basic Bilateral Hypergeometric Series ₂ ψ₂