English

Third order differential subordination and superordination results for analytic functions involving the Srivastava-Attiya operator

Complex Variables 2018-09-21 v1

Abstract

In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, 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 are pointed out.

Keywords

Cite

@article{arxiv.1809.07381,
  title  = {Third order differential subordination and superordination results for analytic functions involving the Srivastava-Attiya operator},
  author = {H. M. Srivastava and A. Prajapati and P. Gochhayat},
  journal= {arXiv preprint arXiv:1809.07381},
  year   = {2018}
}

Comments

16. arXiv admin note: substantial text overlap with arXiv:1809.06512