Main Subjects : Complex Analysis


On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators

Mohammed A. Fathi; Abdul Rahman S. Juma

AL-Rafidain Journal of Computer Sciences and Mathematics, 2021, Volume 15, Issue 2, Pages 55-62
DOI: 10.33899/csmj.2021.170008

By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained such as distortion theorem, sufficient coefficient bounds ,extreme points and convex combination conditions for aforementioned subclass.

New Subclass of Meromorphic Functions Associated with Hypergeometric Function

Mohamed A. Khadr; Ahmed M. Ali; Firas Gh. Ahmed

AL-Rafidain Journal of Computer Sciences and Mathematics, 2021, Volume 15, Issue 2, Pages 63-71
DOI: 10.33899/csmj.2021.170009

In this paper, we determine sufficient conditions, distortion properties and radii of starlikeness and convexity for functions The hypergeometric meromorphic functions have certain formula in the punctured unit disk which contains in new subclass.