‎Universally prestarlike functions of order $alphaleq 1$ in the‎ ‎slit domain $Lambda=mathbb{C}setminus [1,infty)$ have been‎ ‎recently introduced by S‎. ‎Ruscheweyh.This notion generalizes the‎ ‎corresponding one for functions in the unit disk $Delta$ (and‎ ‎other circular domains in $mathbb{C}$)‎. ‎In this paper‎, ‎we obtain‎ ‎the Fekete-Szegö coefficient functional for transforms of such‎ ‎f...

In this present investigation, the authors obtain Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which zf ′(z) (1− λ)f(z) + λzf ′(z) (0 ≤ λ < 1) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are giv...

With s n (z) denoting the n-th partial sum of e z , the exact rate of convergence of the zeros of the normalized partial sums, s n (nz), to the Szeg} o curve D 0;1 was recently studied by Carpenter et al. (1991), where D 0;1 is deened by

In this paper, we establishes certain new weighted Young and P?lya-Szeg?-type inequalities involving Marichev-Saigo-Maeda fractional integral operators. Meanwhile, corresponding Cauchy-Schwarz type inequalities, Shisha-Mond Diaz-Metcalf for operators are also obtained. As applications, some estimates Chebyshev-type with two unknown functions presented. The main results of paper more general inc...

In this article, we introduce and study a new family P?(?,?,k,?,?,?,r) of normalized analytic ?-pseudo-starlike bi-univalent functions by using the Horadam polynomials, which is associated with certain convolution operator defined in open unit disk U. We establish bounds for |a2| |a3|, where a2, a3 are initial Taylor-Maclaurin coefficients. Furthermore, obtain Fekete-Szeg? inequality class P? (...

In this research contribution, we have constructed a subclass of analytic bi-univalent functions using Horadam polynomials. Bounds for certain coefficients and Fekete- Szegö inequalities been estimated.