J Austral Math Soc Ser A 47 pp438--444, 1989.

Function Classes Related to Ruscheweyh Derivatives

O. P. Ahuja and H. Silverman

Abstract

We investigate a family consisting of functions whose convolution with z/(1 - z)ⁿ⁺¹ is starlike of order a, 0 £ a < 1. We determine extreme points, inclusion relations, and show how this family acts under various linear operators.

1980 AMS Subject Classification (1985 Revision): primary 30C45; secondary 30C55

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Authors

O. P. Ahuja

Department of Mathematics, University of Papua New Guinea, Papua New Guinea.

H. Silverman

Department of Mathematics, College of Charleston, Charleston, South Carolina 29424, U.S.A.