ON HYPERGEOMETRIC SERIES REDUCTIONS FROM INTEGRAL REPRESENTATIONS, THE KAMPÉ DE FÉRIET FUNCTION AND ELSEWHERE

DOI10.1142/S0217979205032814zbMath1085.33005arXivmath-ph/0608048OpenAlexW2090432261MaRDI QIDQ5715592

Mark W. Coffey

Publication date: 4 January 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608048

zbMATH Keywords

hypergeometric functionshypergeometric seriesreduction formula

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identities of nonterminating series by Zeilberger's algorithm
• On the reducibility of the Kampé de Fériet function
• Algorithms for \(m\)-fold hypergeometric summation
• Generalised hypergeometric series^NF (x₁,...,x_N) arising in physical and quantum chemical applications
• New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae
• New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
• Reduction formulae for generalised hypergeometric functions of one variable
• On the inertial mass of a vortex in high- superconductors: closed form results
• Closed-form sums for some perturbation series involving hypergeometric functions
• The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈)

This page was built for publication: ON HYPERGEOMETRIC SERIES REDUCTIONS FROM INTEGRAL REPRESENTATIONS, THE KAMPÉ DE FÉRIET FUNCTION AND ELSEWHERE