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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2009 Number 2(6), Pages 67–70 (Mi vtgu61)

MATHEMATICS

Starlike and close-to-convex the neighborhoods of meromorphic functions

P. I. Sizhuk, T. P. Sizhuk

Stavropol State University

Abstract: In the article are the sufficient conditions starlike of order $\alpha$ and close-to-convex the neighborhoods of meromorphic functions in the unit circle, which have simple pole in the centre of the circle.

Keywords: functions, starlike, close-to-convex, univalent, meromorphic, circle, condition, class, convolution.

UDC: 517.54


Accepted: April 30, 2009



© Steklov Math. Inst. of RAS, 2024