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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), Issue 2, Pages 39–46
DOI: https://doi.org/10.15393/j3.art.2018.4490
(Mi pa246)
 

This article is cited in 3 scientific papers (total in 3 papers)

On contiguity relations for generalized hypergeometric functions

V. A. Gorelov

National Research University «Moscow Power Engineering Institute», 14 Krasnokazarmennaya str., Moscow 111250, Russia
Full-text PDF (424 kB) Citations (3)
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Abstract: We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous differential equations.
Keywords: generalized hypergeometric functions, contiguous functions, Siegel's method.
Received: 04.03.2018
Revised: 12.09.2018
Accepted: 13.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.588, 511.4
MSC: 33C20, 11J91
Language: English
Citation: V. A. Gorelov, “On contiguity relations for generalized hypergeometric functions”, Probl. Anal. Issues Anal., 7(25):2 (2018), 39–46
Citation in format AMSBIB
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\by V.~A.~Gorelov
\paper On contiguity relations for generalized hypergeometric functions
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\issue 2
\pages 39--46
\mathnet{http://mi.mathnet.ru/pa246}
\crossref{https://doi.org/10.15393/j3.art.2018.4490}
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\elib{https://elibrary.ru/item.asp?id=36744241}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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