Third-Order Differential Subordination and Differential Superordination Results for Analytic Functions Involving the Srivastava-Attiya Operator

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
A. Prajapati, Department of Mathematics, Sambalpur University, Jyoti Vihar, Burla 768019, Sambalpur, Odisha, IndiaFollow
P. Gochhayat, Department of Mathematics, Sambalpur University, Jyoti Vihar, Burla 768019, Sambalpur, Odisha, IndiaFollow

Author Country (or Countries)

Republic of China

Abstract

In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya [16], suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are presented. As a consequence, various sandwich-type theorems are established for a class of univalent analytic functions involving the celebrated Srivastava-Attiya transform. Relevant connections of the new results presented here with those that were considered in earlier works are pointed out.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100301

Recommended Citation

M. Srivastava, H.; Prajapati, A.; and Gochhayat, P. (2018) "Third-Order Differential Subordination and Differential Superordination Results for Analytic Functions Involving the Srivastava-Attiya Operator," Applied Mathematics & Information Sciences: Vol. 12: Iss. 3, Article 1.
DOI: http://dx.doi.org/10.18576/journal/100301
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/1