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Refinement of estimates for some nonhomogeneous linear forms

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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.

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REFERENCES

  1. A. I. Galochkin, “An analogue of Siegel’s method,” Vestnik Moskov. Univ. Ser. I Mat. Mekh. [Moscow Univ. Math. Bull.] (1986), no. 2, 30–34.

  2. A. B. Shidlovskii, Transcendental Numbers [in Russian], Nauka, Moscow, 1987; English transl. in: Walter de Gruyter, Berlin-New York, 1989.

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Authors and Affiliations

  1. N. É. Bauman Moscow State Technical University, Moscow

    P. L. Ivankov

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  1. P. L. Ivankov
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Translated from Matematicheskie Zametki, vol. 77, no. 4, 2005, pp. 515–521.

Original Russian Text Copyright © 2005 by P. L. Ivankov.

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Ivankov, P.L. Refinement of estimates for some nonhomogeneous linear forms. Math Notes 77, 476–481 (2005). https://doi.org/10.1007/s11006-005-0046-7

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  • DOI: https://doi.org/10.1007/s11006-005-0046-7

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