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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2010 Volume 88, Issue 4, Pages 511–516 (Mi mzm8522)

This article is cited in 6 papers

On Algebraic Identities between Generalized Hypergeometric Functions

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)

Abstract: In this paper, we obtain new algebraic identities between hypergeometric functions satisfying linear differential equations of arbitrary order as well as between the fundamental matrices of hypergeometric equations.

Keywords: hypergeometric function, algebraic identity, linear differential equation, hypergeometric equation, fundamental matrix, Kummer's identity, Euler's identity.

UDC: 511.36

Received: 17.09.2009

DOI: 10.4213/mzm8522


 English version:
Mathematical Notes, 2010, 88:4, 487–491

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© Steklov Math. Inst. of RAS, 2026