Fractional differential superordination

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Published: Sep 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1072
Keywords:
Subordination Superordination Differential subordination Fractional differential subordination Srivastava-Owa fractional operators

Main Article Content

Rabha W. Ibrahim

Abstract

The notion of differential superordination was introduced by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination. Recently, in Tamkang J. Math.[7], the author have introduced the notion of fractional differential subordination. In this work, we consider the dual problem of determining properties of analytic functions that satisfy the fractional differential superordination. By employing some types of admissible functions, involving differential operator of fractional order, we illustrate geometric properties such as starlikeness and convexity for a class of analytic functions in the unit disk. Moreover, applications are posed in the sequel.

Article Details

How to Cite
Ibrahim, R. W. (2014). Fractional differential superordination. Tamkang Journal of Mathematics, 45(3), 275–284. https://doi.org/10.5556/j.tkjm.45.2014.1072
Issue
Vol. 45 No. 3 (2014)
Section
Papers
Author Biography

Rabha W. Ibrahim

Institute ofMathematical Sciences, UniversityMalaya, 50603, Kuala Lumpur,Malaysia.

References

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