Wiman type inequalities for entire Dirichlet series with arbitrary exponents

Author A. O. Kuryliak, I. Ye. Ovchar, O. B. Skaskiv
iovchar@hotmail.com; kurylyak88@gmail.com, matstud@franko.lviv.ua
Ivano-Frankivsk National Technical University of Oil and Gas; Lviv Ivan Franko National University

Abstract We prove analogues of the classical Wiman inequality for entire Dirichlet series $f(z)=\sum_{n=0}^{+\infty}a_ne^{z\lambda_n}$ with arbitrary positive exponents $(\lambda_n)$ such that $\sup\{\lambda_n\colon n\geq 0 \}=+\infty$.
Keywords entire Dirichlet series; Wiman's inequality
Reference
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Pages 108-112
Volume 40
Issue 1
Year 2013
Journal Matematychni Studii
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