In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Hohlov operator, that is, a familiar special case of the widely(and extensively-) investigated Dziok-Srivastava linear operator. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for function...

in this paper‎, ‎we introduce a new class$t_{k}^{s,a}[a,b,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎this class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎we derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

In this article, a new linear extended multiplier operator is defined utilizing the q-Choi–Saigo–Srivastava and q-derivative. Two generalized subclasses of q—uniformly convex starlike functions order δ—are studied using operator. Necessary conditions are derived for to belong in each two subclasses, subordination theorems involving Hadamard product such particular stated proven. As applications...

In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family J?(?,?,s,t,q;h) holomorphic bi-univalent functions which were defined in unit disk D associated with q-Srivastava–Attiya operator. We establish bounds for |a2| |a3|, where a2, a3 are initial Taylor–Maclaurin coefficients. For investigate Fekete-Szegö inequality, special cases consequences.

In this paper, the author make use of the newly introduced concept of analytic functions by Kanas and Ronning [7] and apply Aouf et al derivative operator with the technique of Hayami, Owa and Srivastava [17] to define a more larger and generalized class of Bazilevic functions. Characterization and coefficient bounds of this new class of Bazilevic functions are considered. 2000 Mathematics Subj...