Transformation of the triple series of Gelfand, Graev, and Retakh into a series of the same type and related problems

DOI10.1134/S0001434611030096zbMath1234.33023OpenAlexW2022792800MaRDI QIDQ650436

A. V. Niukkanen

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0001434611030096

zbMATH Keywords

Radon transformcomputational methodsmultiple hypergeometric seriesGaussian seriessymbolic fraction

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Cites Work

• Linear transformations and reduction formulas for the Gelfand hypergeometric functions associated with the Grassmannians \(G_{2,4}\) and \(G_{3,6}\)
• On a hypergeometric identity of Gelfand, Graev and Retakh.
• General linear transformations of hypergeometric functions
• General hypergeometric systems of equations and series of hypergeometric type
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