Wiman type inequalities for entire Dirichlet series with arbitrary exponents
Journal: Matematychni Studii (Vol.40, No. 1)Publication Date: 2013-07-01
Authors : Kuryliak A. O.; Ovchar I. Ye.; Skaskiv O. B.;
Page : 108-112
Keywords : entire Dirichlet series; Wiman's inequality;
Abstract
We prove analogues of the classical Wiman inequality for entire Dirichlet series $f(z)=sum_{n=0}^{+infty}a_ne^{zlambda_n}$ with arbitrary positive exponents $(lambda_n)$ such that $sup{lambda_ncolon ngeq 0 }=+infty$.
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