On algebraic identities between generalized hypergeometric functions

DOI10.1134/S0001434610090208zbMath1232.33007MaRDI QIDQ650307

V. A. Gorelov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

fundamental matrixhypergeometric functionlinear differential equationalgebraic identityhypergeometric equationEuler's identityKummer's identity

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (6)

New identities for a sum of products of the Kummer functions ⋮ On the algebraic independence of values of generalized hypergeometric functions ⋮ Analytical Time-Dependent Distributions for Gene Expression Models With Complex Promoter Switching Mechanisms ⋮ On algebraic identities between solution matrices of Bessel's and Kummer's equations ⋮ A new identity for the sum of products of the generalized hypergeometric functions ⋮ Unnamed Item

Cites Work

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• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• Algebraic relations between the hypergeometric \(E\)-function and its derivatives
• HERMITE-PADÉ APPROXIMANTS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS

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