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Certain subclass of harmonic functions associated with univalent functions

Authors :
Dash, Prachi Prajna
Prajapat, Jugal Kishore
Publication Year :
2024

Abstract

In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a close relation between both subclasses. Further, we obtain some characteristic properties, including radius properties, convolution, coefficient estimates and their properties, growth estimates, and convex combination for the functions in the defined subclass. At last, we produce conditions for some special functions as well as harmonic univalent polynomials to belong to the defined subclass of harmonic functions.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2406.13311
Document Type :
Working Paper