This article is cited 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

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.

UDC: 517.588, 511.4

MSC: 33C20, 11J91

Received: 04.03.2018
Revised: 12.09.2018
Accepted: 13.09.2018

Language: English

DOI: 10.15393/j3.art.2018.4490

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