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A first-order differential double subordination with applications
Let and belong to a certain class of normalized analytic
univalent functions in the open unit disk of the complex plane. Sufficient
conditions are obtained for normalized analytic functions to satisfy the
double subordination chain . The differential
sandwich-type result obtained is applied to normalized univalent functions and
to -like functions
Third order differential subordination and superordination results for analytic functions involving the Srivastava-Attiya operator
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.Comment: 16. arXiv admin note: substantial text overlap with arXiv:1809.0651
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