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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2009 Volume 1, Issue 2, Pages 17–28 (Mi ufa9)

This article is cited in 2 papers

Behaviour of the Sum of Dirichlet Series with a given majorant of a growth on curves

A. M. Gaisina, N. N. Yusupovab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Bashkir State University

Abstract: Classes of Dirichlet series defined by convex majorants of a growth are investigated here. There are recieved precise estimations of a growth and increasing for functions of this classes.

Keywords: Dirichlet series, maximal member, the convex majorant of a growth.

UDC: 517.53+517.537.7

Received: 24.04.2009



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