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arXiv · 1809.07381

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

H. M. Srivastava·A. Prajapati·P. Gochhayat
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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.

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H. M. Srivastava, A. Prajapati, P. Gochhayat. 2018-09-18. Third order differential subordination and superordination results for analytic functions involving the Srivastava-Attiya operator. https://arxiv.org/abs/1809.07381

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