On the order of convolution consistence of certain classes of harmonic functions with varying arguments

Agnes Orsolya Pall-Szabo, Grigore Stefan Salagean

Abstract


Making use of a modified Hadamard product or convolution of harmonic functions with varying arguments, combined with an integral operator, we study when these functions belong to a given class. Following an idea of U. Bednarz and J. Sokol we define the order of convolution consistence of three classes of functions and determine it for certain classes of harmonic functions with varying arguments defined using a convolution operator.


Keywords


analytic functions with negative coefficients, univalent functions, extreme points, order of convolution consistence, starlikeness, convexity

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.2.04

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