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 dene 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.