New class of k-uniformly harmonic functions defined by Al-Oboudi operator

Autor:	Birajdar, G. M., Sangle, N. D.
Rok vydání:	2022
Předmět:	Mathematics - Complex Variables 30C45 30C50
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce the class $k$-USH $(u,v,\alpha,\lambda)$ using Al-Oboudi operator which is a subclass of $k$-uniformly harmonic functions. A subclass $k$-UTH $(u,v,\alpha,\lambda)$ of $k$-USH $(u,v,\alpha,\lambda)$ is also been defined and studied in this paper. Extreme points, distortion bounds, convolution condition and convex combination of functions belonging to the class $k$-UTH $(u,v,\alpha, \lambda)$ are also studied. Comment: 15
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.06423 Zobrazit plný text záznamu View this record from Arxiv