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On some classes of meromorphic functions defined by subordination and superordination

By Alina. Totoi

Abstract

Tyt. z nagłówka.Bibliogr. s. 668.Dostępny również w formie drukowanej.ABSTRACT: Let p Є N* and β,γ Є C with β,≠ 0 and let ∑p denote the class of meromorphic functions of the form g(z) = α-p/zp + α0 + α1z + ..., z Є U, α-p ≠ 0. We consider the integral operator Jp,β,γ : Kp,β,γ[formula] ∑p -- ∑p defined by [formula]. We introduce some new subclasses of the class ∑p, associated with subordination and superordination, such that, in some particular cases, these new subclasses are the well-known classes of meromorphic starlike functions and we study the properties of these subclasses with respect to the operator Jp,β,γ. KEYWORDS: meromorphic functions, integral operators, subordination, superordination

DOI identifier: 10.7494/opmath.2011.31.4.651
OAI identifier: oai:abc.krakow.pl:dd2012317080
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