This article is cited in 2 papers

Algebraic independence of values of a certain class of hypergeometric functions

V. A. Kulagin

Mari State University

Abstract: We prove a general theorem on the algebraic independence of values of hypergeometric $E$-functions and their successive derivatives at algebraic points for the “degenerate” case in which substantial cancellations occur in numerators and denominators of coefficients of the series in powers of $z$ of the functions considered.

UDC: 511

Received: 16.06.1993

DOI: 10.4213/mzm1728

 English version: Mathematical Notes, 1996, 59:3, 283–292

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