SOME PROPERTIES OF HORN TYPE SECOND ORDER DOUBLE HYPERGEOMETRIC SERIES

DOI10.18454/2079-6641-2018-21-1-32-47zbMath1407.33005OpenAlexW4297050277MaRDI QIDQ4624972

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Publication date: 20 February 2019

Full work available at URL: http://mathnet.ru/eng/vkam231

zbMATH Keywords

generating functionsGauss hypergeometric functiontransformationintegral representationspartial differential equationsHorn double series

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05)

Related Items (2)

Recursion formulas for certain quadruple hypergeometric functions ⋮ Certain integral representations involving hypergeometric functions in two variables

Cites Work

• Applications of the operator \(H(\alpha ,\beta )\) to the Humbert double hypergeometric functions
• Appell’s Function $F_4 $ as a Double Average
• The Need for a New Classification of Double Hypergeometric Series
• Hypergeometrische Funktionen zweier Veränderlichen
• Hypergeometrische Funktionen zweier Veränderlichen
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