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2009•European Journal of Pure and Applied MathematicsOpen access

Differential Subordination and Superordination of Analytic Functions Defined by an Integral Operator

M. K. Aouf, T. M. Seoudy

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Abstract

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. Some of the results established in this paper would provide extensions of those given in earlier works.

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What this paper is about

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. Some of the results established in this paper would provide extensions of those given in earlier works.

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Available abstract

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. Some of the results established in this paper would provide extensions of those given in earlier works.

Key concepts: Subordination (linguistics), Mathematics, Unit disk, Analytic function, Differential (mechanical device), Operator (biology), Differential operator, Univalent function

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