266 research outputs found
Differential Subordinations Involving Generalized Bessel Functions
In this paper our aim is to present some subordination and superordination
results, by using an operator, which involves the normalized form of the
generalized Bessel functions of first kind. These results are obtained by
investigating some appropriate classes of admissible functions. We obtain also
some sandwich-type results and we point out various known or new special cases
of our main results.Comment: 15 pages, accepted in Bulletin of the Malaysian Mathematical Sciences
Societ
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
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
New differential subordinations obtained by using a differential-integral Ruscheweyh-Libera operator
FIRST- ORDER STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION PROPERTIES FOR ANALYTIC FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR
In the present paper we study of some properties first - order strong differential subordination and superordination for analytic functions associated with Ruscheweyh derivative operator which are obtained by considering suitable classes of admissible functions
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