Title of article :
ON GENERALIZED CLASS OF ρ-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
Author/Authors :
EL-ASHWAH, R.M. Damietta University - Faculty of Science - Department of Mathematics, Egypt , AOUF, M.K. Mansoura university - Faculty of Science - Department of Mathematics, Egypt , ZAYED, H.M. Menofia University - Faculty of Science - Department of Mathematics, Egypt
Abstract :
In this paper we introduce and study new class F_ρ,θ(γ,β) of p-valent functions with negative coefficients. We obtain coefficients inequalities, distortion theorems, extreme points and radii of close to convexity, starlikeness and convexity for the class F_ρ,θ(γ,β). Also modified Hadamard products of several functions belonging to the class F_ρ,θ(γ,β) are study here. Finally, we investigate several distortion inequalities involving fractional calculus.
Keywords :
Analytic , ρ , valent functions , Hadamard product , fractional calculus operators
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
