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.

Clostridial and spinach ferredoxins, reduced enzymatically by the action of ferredoxin-TPN+ oxidoreductase, have been shown to carry out the univalent reduction of oxygen. The superoxide radicals, so generated, were detected by their ability to cause the oxidation of epinephrine to adrenochrome. Superoxide dismutase prevented the production of adrenochrome in these reaction mixtures, while havi...

We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc this work. provide estimates for first two Taylor–Maclaurin series coefficients these functions. Furthermore, we define Salagean differential operator and discuss various applications our main findings using it. A few well-known corollaries are studied order to show connection between recent earlier

In this paper, we use the Faber polynomial expansion to obtain bounds for general coefficients a n of bi-univalent functions in family analytic open unit disk. Estimation bound value initial these classes is also established.

by using generalized salagean differential operator a newclass of univalent holomorphic functions with fixed finitely manycoefficients is defined. coefficient estimates, extreme points,arithmetic mean, and weighted mean properties are investigated.

Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...

let $c_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{d}$. each function $f in c_{0}(alpha)$ maps the unit disk $mathbb{d}$ onto the complement of an unbounded convex set. in this paper, we study the mapping properties of this class under integral operators.

Harmonic univalent mappings have attracted the serious attention of complex analysts only after the appearance of a basic paper by Clunie and Sheil-Small [4] in 1984. These researchers laid the foundation for the study of harmonic univalent mappings over the unit disk as a generalization of analytic univalent functions. Interestingly, almost at the same time, the famous Bieberbach conjecture wh...