This article is cited in 2 papers

On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus

P. V. Filevich

Ivan Franko National University of L'viv

Abstract: The following question is discussed: How fast can the maximum of the modulus of one entire function grow in comparison with the maximum of the modulus of another function provided that the corresponding Taylor coefficients of both functions are equal in magnitude?

Keywords: entire function, maximum of modulus, power series.

UDC: 517.53

Received: 14.11.2001

 English version: Siberian Mathematical Journal, 2003, 44:3, 529–538

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