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Magesh N., et al., Subordination and superordination results associated with the generalized hypergeometric function, Math. Slovaca, 64, 2014: 1197-1216.

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Article

Studies on Fractional Differential Operators of Two Parameters in a Complex Domain

1Institute of Mathematical Sciences, University Malaya, 50603, Malaysia

2Faculty of Computer Science and Information Technology, University, Malaya, 50603, Malaysia


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 1, 1-7
DOI: 10.12691/tjant-4-1-1
Copyright © 2016 Science and Education Publishing

Cite this paper:
Rabha W. Ibrahim, Hamid A. Jalab. Studies on Fractional Differential Operators of Two Parameters in a Complex Domain. Turkish Journal of Analysis and Number Theory. 2016; 4(1):1-7. doi: 10.12691/tjant-4-1-1.

Correspondence to: Rabha  W. Ibrahim, Institute of Mathematical Sciences, University Malaya, 50603, Malaysia. Email: rabhaibrahim@yahoo.com

Abstract

This study deals with a generalization for fractional differential operators in a complex domain based on the extended Beta function. Stipulations are imposed for these generalized operators such as the upper bounds. Other possessions for the above operator are also prepared. In addition, implementations of these operators are introduced and suggested in the geometric function theory (GFT). Sufficient conditions are imposed for functions to be univalent.

Keywords