This article is cited in 12 papers

Lower bounds for polynomials in the values of certain entire functions

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Lower estimates in terms of all coefficients are established for polynomials and linear forms in the values of $E$-functions. Consequences for generalized hypergeometric $E$-functions are indicated.

UDC: 511.36

MSC: Primary 11J82; Secondary 41A21

Received: 14.12.1995

DOI: 10.4213/sm178

 English version: Sbornik: Mathematics, 1996, 187:12, 1791–1818

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