Convolution properties for generalized partial sums

Herb Silverman

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J. Korean Math. Soc. 1996; 33(3): 601-607

Printed September 1, 1996

Convolution properties for generalized partial sums

Herb Silverman

University of Charleston

Abstract

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Abstract

Radii properties for the sequence of partial sums of subfamilies of univalent functions have long been known. Recently, they have also been established for more general sequences. In this note, results are given when generalized partial sums are convolved with the convolution of univalent functions.

Keywords: Generalized partial sum, convolution, univalent

MSC numbers: Primary 30C45; Secondary 30C50