Some Properties of Harmonic Functions Defined by Convolution | Zendy

Kaushal Kishor Dixit | Zendy; Saurabh Porwal | Zendy

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Some Properties of Harmonic Functions Defined by Convolution

Author(s) -

Kaushal Kishor Dixit,

Saurabh Porwal

Publication year - 2009

Publication title -

kyungpook mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 19

eISSN - 1225-6951

pISSN - 0454-8124

DOI - 10.5666/kmj.2009.49.4.751

Subject(s) - mathematics , convolution (computer science) , harmonic function , harmonic , convolution power , convolution theorem , pure mathematics , mathematical analysis , fourier transform , computer science , artificial intelligence , fourier analysis , acoustics , physics , artificial neural network , fractional fourier transform

In this paper, we introduce and study a comprehensive family of harmonic univalent functions which contains various well-known classes of harmonic univalent functions as well as many new ones. Also, we improve some results obtained by Frasin [3] and obtain coefficient bounds, distortion bounds and extreme points, convolution conditions and convex combination are also determined for functions in this family. It is worth mentioning that many of our results are either extensions or new approaches to those corresponding previously known results.

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