On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 4, Volume 15, Issue 2, December 2021, Pages 55-62 PDF (487.72 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2021.170008 | ||
| Authors | ||
| Mohammed A. Fathi1; Abdul Rahman S. Juma2 | ||
| 1Department of Mathematics Collage of Computer Science and Mathematics University of Mosul | ||
| 2College of Education for Pure Science University of Anbar | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Harmonic functions; Univalent function; Distortion theorem; Ruscheweyh type q- differential operator | ||
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