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Wiman type inequalities for entire Dirichlet series with arbitrary exponents

Journal: Matematychni Studii (Vol.40, No. 1)

Publication Date:

Authors : ; ; ;

Page : 108-112

Keywords : entire Dirichlet series; Wiman's inequality;

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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 $sup{lambda_ncolon ngeq 0 }=+infty$.

Last modified: 2014-01-13 20:10:12