This article is cited in 3 papers

Refinement of estimates for some nonhomogeneous linear forms

P. L. Ivankov

N. E. Bauman Moscow State Technical University

Abstract: In this paper, estimates for nonhomogeneous linear forms in values of hypergeometric functions with irrational parameters are refined. This refinement is carried out by means of an optimal choice of the degree of the zeroth polynomial appearing in the construction of approximate functional forms.

UDC: 511.361

Received: 17.03.2004

DOI: 10.4213/mzm2512

 English version: Mathematical Notes, 2005, 77:4, 476–481

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