Subharmonic Versions of Valiron’s Theorem on Entire Functions

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Doklady Bashkirskogo Universiteta. 2016. Volume 1. No. 1. pp. 22-26.

Authors

Khabibullin B. N.*
Bashkir State University
32 Zaki Validi st., 450074 Ufa, Republic of Bashkortostan, Russia
Khabibullin F. B.
Bashkir State University
32 Zaki Validi st., 450074 Ufa, Republic of Bashkortostan, Russia

Abstract

We estimate the growth of the canonical integral of Hadamard-Weierstraß of measure of finite order on the complex plane by the type of counting function or average counting function of this measure.

Keywords

  • positive measure
  • counting function of measure
  • subharmonic function
  • entire function
  • order of the growth
  • function of finite type
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