This article is cited in 3 papers

Mathematical logic, algebra and number theory

On algebraic identities between solution matrices of Bessel's and Kummer's equations

V. A. Gorelov

National Research University "Moscow Power Engineering Institute", 14, Krasnokazarmennaya str., Moscow, 111250, Russia

Abstract: Examples of algebraic identities between solution matrices of Bessel's and Kummer's equations and their generalizations are found. Errors in some theorems of F. Beukers and other authors are corrected.

Keywords: hypergeometric functions, Siegel's method, algebraic independence.

UDC: 511.4

MSC: 33C20, 11J91

Received February 18, 2018, published February 26, 2019

DOI: 10.33048/semi.2019.16.017

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