Some Applications of Quasi-Subordination for Bi-Univalent Functions Using Jackson’s Convolution Operator

Abstract

In this paper, subclasses of the function class ∑ of analytic and bi-univalent functions associated with operator L_q^(k, λ) are introduced and defined in the open unit disk △ by applying quasi-subordination. We obtain some results about the corresponding bound estimations of the coefficients a_(2 ) and a_(3 ).

Sandwich Subordinations Imposed by New Generalized Koebe-Type Operator on Holomorphic Function Class

“…In effect, interesting recent studies have emanated about dealing with subordinate and superordinate techniques and sandwiches problems correlated with numerous complex operators, for instance, Atshan et al [17], Sokół et al [18], Zayed and Bulboacă [19], Al-Janaby and Ahmad [20], Mishra and Soren [21], Al-Janaby and Darus [22], Al-Janaby et al ( [23], [24]), Ghanim and Al-Janaby ( [25], [26]), Attiy ([27], [28]), Lupaş and Oros [29] and Atshan ( [30], [31]).…”