Subclasses of Harmonic Mappings Defined by Convolution | Zendy

Santosh B. Joshi | Zendy; Girish D. Shelake | Zendy

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Subclasses of Harmonic Mappings Defined by Convolution

Author(s) -

Santosh B. Joshi,

Girish D. Shelake

Publication year - 2013

Publication title -

journal of complex analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.167

H-Index - 7

eISSN - 2314-4963

pISSN - 2314-4971

DOI - 10.1155/2013/403624

Subject(s) - convolution (computer science) , extreme point , distortion (music) , convolution power , harmonic , mathematics , harmonic function , regular polygon , convex function , pure mathematics , mathematical analysis , computer science , combinatorics , physics , geometry , fourier transform , artificial intelligence , telecommunications , acoustics , amplifier , fourier analysis , bandwidth (computing) , artificial neural network , fractional fourier transform

Two new subclasses of harmonic univalent functions defined by using convolution and integral convolution are introduced. These subclasses generate several known and new subclasses of harmonic univalent functions as special cases and provide a unified treatment in the study of these classes. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are also determined

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