Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator

Joint Authors

Darwish, H. E.
Ahmed, A. R.
Elrifai, E. A.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-25, 25 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-07-12

Country of Publication

Egypt

No. of Pages

25

Main Subjects

Mathematics

Abstract EN

We introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator.

Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness are provide.

The results presented here would provide extensions of those given in earlier works.

Several other new results are also obtained.

American Psychological Association (APA)

Elrifai, E. A.& Darwish, H. E.& Ahmed, A. R.. 2011. Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-495931

Modern Language Association (MLA)

Elrifai, E. A.…[et al.]. Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-25.
https://search.emarefa.net/detail/BIM-495931

American Medical Association (AMA)

Elrifai, E. A.& Darwish, H. E.& Ahmed, A. R.. Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-495931

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-495931