AN APPLICATION OF (p; q)-CALCULUS IN HARMONIC UNIVALENT FUNCTIONS
AN APPLICATION OF (p; q)-CALCULUS IN HARMONIC UNIVALENT FUNCTIONS
P. Sharma, S. Porwal, O. Mishra
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Abstract
The main aim of this paper is to dene a (p; q)-multiplier transformation for harmonic functions. Using that we obtain coecient inequality, extreme points, dis- tortion theorem and covering results for the new subclass of harmonic functions. Several known results may be derived as special cases of our main results.
Keywords
(p,q)-calculus, q-calculus, univalent harmonic functions.