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arXiv · 2211.06423

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

G. M. Birajdar·N. D. Sangle
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Abstract

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.

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BibTeXRIS

G. M. Birajdar, N. D. Sangle. 2022-08-26. New class of k-uniformly harmonic functions defined by Al-Oboudi operator. https://arxiv.org/abs/2211.06423

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