Neighborhoods of a new class of harmonic multivalent functions

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Date

2011-06

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Pergamon-Elsevier Science

Abstract

We introduce and investigate a new subclass of harmonic multivalent functions defined by using a differential operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent functions. We also, derive inclusion relationships involving the neighborhoods of harmonic multivalent functions.

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Keywords

Mathematics, Harmonic, Multivalent, Differential operator, Neighborhood, Univalent-functions, Negative coefficients, Analytic-functions, Subclasses, Differential equations, Harmonic analysis, Mathematical operators, Convex combinations, Differential operators, Extreme points, Harmonic, Multivalent, Multivalent function, Neighborhood, Harmonic functions

Citation

Yaşar, E. ve Yalçın, S. (2011). "Neighborhoods of a new class of harmonic multivalent functions". Computers and Mathematics with Applications, 62(1), 462-473.