Some Properties and Graphical Applications of a New Subclass of Harmonic Functions Defined by a Differential Inequality

Sibel Yalçın, Hasan Bayram () and Georgia Irina Oros ()
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Sibel Yalçın: Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, 16059 Bursa, Turkey
Hasan Bayram: Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, 16059 Bursa, Turkey
Georgia Irina Oros: Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania

Mathematics, 2024, vol. 12, issue 15, 1-15

Abstract: This paper establishes new results related to geometric function theory by presenting a new subclass of harmonic functions with complex values within the open unit disk, characterized by a second-order differential inequality. The investigation explores the bounds on the coefficients and estimates of the function growth. This paper also demonstrates that this subclass remains stable under the convolution operation applied to its members. In addition, in the last section, images of the unit disk under some functions of this class are given.

Keywords: harmonic function; convolution; coefficient estimates; graphics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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