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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2003 Volume 44, Number 5, Pages 972–980 (Mi smj1245)

This article is cited in 11 papers

An expression for the superposition of general algebraic functions in terms of hypergeometric series

I. A. Antipova

Krasnoyarsk State Technical University

Abstract: We show that the superposition of general algebraic functions is representable as a ratio of hypergeometric series.

Keywords: algebraic function, hypergeometric series, Mellin transform, superposition, multidimensional residue.

UDC: 517.55

Received: 01.03.2002


 English version:
Siberian Mathematical Journal, 2003, 44:5, 757–764

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© Steklov Math. Inst. of RAS, 2026