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. (Russian, English) Zbl 1029.30019 Sib. Mat. Zh. 44, No. 3, 674-685 (2003); translation in Sib. Math. J. 44, No. 3, 529-538 (2003). Summary: 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? Cited in 2 Documents MSC: 30D20 Entire functions of one complex variable (general theory) 30D15 Special classes of entire functions of one complex variable and growth estimates Keywords:entire function; maximum of modulus; power series PDFBibTeX XMLCite \textit{P. V. Filevich}, Sib. Mat. Zh. 44, No. 3, 674--685 (2003; Zbl 1029.30019); translation in Sib. Math. J. 44, No. 3, 529--538 (2003) Full Text: EuDML EMIS