On a class of analytic functions related to Robertson’s formula and subordination

On a class of analytic functions related to Hadamard products

In this paper, we introduce a new class of analytic functions which are analytic related to Hadamard products. Characterization properties which include coefficient bounds, growth and distortion, and closure theorem are given. Further, results on integral transforms are also discussed. 2000 Mathematical Subject Classification: 30C45

The Analytic Class Number Formula and L-functions

Subordination and Superordination Results for a Class of Analytic Multivalent Functions

S. P. Goyal,1 Pranay Goswami,1 and H. Silverman2 1Department of Mathematics, University of Rajasthan, Jaipur 302004, India 2Department of Mathematics, College of Charleston, Charleston, SC 29424, USA Correspondence should be addressed to H. Silverman, [email protected] Received 25 September 2007; Revised 19 February 2008; Accepted 21 May 2008 Recommended by Dorothy Wallace We derive subordina...

Some applications of a subordination theorem for a class of analytic functions

By making use of a subordination theorem for analytic functions, we derive several subordination relationships between certain subclasses of analytic functions which are defined by means of the Sălăgean derivative operator. Some interesting corollaries and consequences of our results are also considered. c © 2007 Elsevier Ltd. All rights reserved.

Subordination Results for a Class of Analytic Functions Defined by a Linear Operator

In this paper, we derive several interesting subordination results for certain class of analytic functions defined by the linear operator L(a, c)f(z) which introduced and studied by Carlson and Shaffer [2].