Let the functions q1 be analytic and let q2 be analytic univalent in the unit disk. Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function f are obtained so that either q1 z ≺ zf ′ z /f z ≺ q2 z or q1 z ≺ 1 zf ′′ z /f ′ z ≺ q2 z . As applications, sufficient conditions are determined relati...

In present paper, we use fractional integral and Wanas differential operator to obtain some subordination superordination results associated with Hadamard product for univalent analytic functions defined in the open unit disk. These are applied sandwich results. Our extend corresponding previously known

We investigate the new class H b (α, β) of analytic functions with Koebe type. The subordination, superordination, best dominant result for that class was obtain. And by making use of Jack's Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class H b (α, β) of n-fold symmetric analytic functions of Koebe type. Relevant...

The results obtained by the authors in present article refer to quantum calculus applications regarding theories of strong differential subordination and superordination. q-analogue multiplier transformation is extended, order be applied on specific classes functions involved superordination theories. Using this extended transformation, a new class analytic normalized introduced investigated. c...

In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension the Mittag–Leffler function.

Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.