On a Generalized Fractional Integral Operator in a Complex Domain

Authors

Adem Kılıcman, Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaFollow
Rabha W. Ibrahim, Faculty of Computer Science and Information Technology, University Malaya, 50603, MalaysiaFollow
Zainab Esa Abdulnaby, Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaFollow

Author Country (or Countries)

Malaysia

Abstract

In this paper we define a new fractional integral operator in complex z-plane C. We are also interested a fractional integration operator to be compact and bounded, provide some examples in Bergmann spaces. By considering the properties of Gauss hypergeometric function we study the univalence and convexity for the new operator. Finally, we follow modification formal to ensure existence for this operator to be in class of univalent function in U.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100323

Recommended Citation

Kılıcman, Adem; W. Ibrahim, Rabha; and Esa Abdulnaby, Zainab (2016) "On a Generalized Fractional Integral Operator in a Complex Domain," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 23.
DOI: http://dx.doi.org/10.18576/amis/100323
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/23