On analytic continuation of a hypergeometric series using the Euler-Knopp transformation

DOI10.3103/S1063454109030042zbMath1179.33007OpenAlexW2022723263MaRDI QIDQ1036941

M. M. Kabardov

Publication date: 13 November 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454109030042

zbMATH Keywords

analytic continuationgeneralized hypergeometric seriesfractional linear mapping

Mathematics Subject Classification ID

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

Related Items (2)

Euler summability method of sequences of fuzzy numbers and a Tauberian theorem ⋮ Methods for Laplace transform inversion

Cites Work

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• On the summation of the Laguerre series by the Euler-Knopp method in the problem of inverting the Laplace transform
• Some generalizations of the Euler-Knopp transformation
• Numerical application of Euler's series transformation and its generalizations
• A note on the generalised Euler transformation

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