Subordination and superordination results for certain subclasses of analytic functions

Subordination and Superordination for Certain Analytic Functions Containing Fractional Integral

The purpose of the present article is to derive some subordination and superordina-tion results for certain normalized analytic functions involving fractional integral operator. More-over, this result is applied to find a relation between univalent solutions for fractional differentialequation.Full textAcknowledgement. The work presented here was supported by eScienceFund<lb...

DIFFERENTIAL SUBORDINATION AND SUPERORDINATION RESULTS FOR p-VALENT ANALYTIC FUNCTIONS

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Subordination Results for Certain Classes of Analytic Functions

In the present paper, we derive some subordination results for certain classes of analytic functions by making use of a subordination theorem. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

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...