ScholarLens Back to search
2012•International Journal of Pure and Apllied MathematicsRequires access

Differential subordination and Superordination of analytic functions defined by a generalized derivative operator

N. M. Mustafa, Maslina Darus

Open publisher page 0 citations

Abstract

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the gen- eralized derivative operator D �,� (µ,q,�)f(z). These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type re- sults are also obtained. Some of the results established in this paper would provide extensions to those given in the earlier works.

About this research paper

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 gen- eralized derivative operator D �,� (µ,q,�)f(z). These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type re- sults are also obtained. Some of the results established in this paper would provide extensions to those given in the earlier works.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the gen- eralized derivative operator D �,� (µ,q,�)f(z). These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type re- sults are also obtained. Some of the results established in this paper would provide extensions to those given in the earlier works.

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

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Differential subordination and Superordination of analytic functions defined by a generalized derivative operator — Research Paper | ScholarLens