This article is cited in 4 papers

The growth on a positive ray of entire functions with real Taylor coefficients

A. I. Pavlov

Steklov Mathematical Institute, Academy of Sciences of the USSR

Abstract: It is proved that if the Taylor coefficients of an entire transcendental function change sign sufficiently infrequently, then such a function increases on a positive ray in the same way as in the whole plane.

UDC: 517.5

Received: 01.09.1971

 English version: Mathematical Notes, 1973, 14:4, 889–895

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