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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

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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?

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Authors and Affiliations

  1. Ivan Franko National University, L'vov

    P. V. Filevich

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  1. P. V. Filevich
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Filevich, P.V. 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. Siberian Mathematical Journal 44, 529–538 (2003). https://doi.org/10.1023/A:1023825117420

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  • DOI: https://doi.org/10.1023/A:1023825117420

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