Certain Subordination-Preserving Family of Integral Operators Associated with p-Valent Functions

Authors

H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada.\\ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of ChinaFollow
M. K. Aouf, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.Follow
A. O. Mostafa, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.Follow
H. M. Zayed, Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt.Follow

Author Country (or Countries)

Republic of China

Abstract

In this paper, we obtain a number of subordination, superordination and sandwich-type results related to a certain family of integral operators defined on the space of p-valent functions in the open unit disk. Applications of these subordination and superordination theorems to the familiar Gauss hypergeometric function are also considered. The results derived in this paper are shown to generalize several known subordination, superordination and sandwich-type theorems.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110401

Recommended Citation

M. Srivastava, H.; K. Aouf, M.; O. Mostafa, A.; and M. Zayed, H. (2017) "Certain Subordination-Preserving Family of Integral Operators Associated with p-Valent Functions," Applied Mathematics & Information Sciences: Vol. 11: Iss. 4, Article 1.
DOI: http://dx.doi.org/10.18576/amis/110401
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/1