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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2012 Volume 13, Issue 2, Pages 64–70 (Mi cheb36)

This article is cited in 4 papers

О значениях продифференцированных по параметру гипергеометрических функций

P. L. Ivankov

N. E. Bauman Moscow State Technical University

Abstract: In this paper we consider linear independence of the values of hypergeometric functions with irrational parameter; some of these functions are differentiated with respect to parameter. The corresponding theorem is proved by means of the effective construction of Padé approximation for such functions.

Keywords: hypergeometric functions, differentiation with respect to parameter, linear independence of the values, irrational parameters.

UDC: 511.361

Received: 24.04.2012



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