Some Properties of Certain Multivalent Harmonic Functions

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

Mathematics, 2023, vol. 11, issue 11, 1-12

Abstract: In this paper, various features of a new class of normalized multivalent harmonic functions in the open unit disk are analyzed, including bounds on coefficients, growth estimations, starlikeness and convexity radii. It is further demonstrated that this class is closed when its members are convoluted. It can also be seen that various previously introduced and investigated classes of multivalent harmonic functions appear as special cases for this class.

Keywords: harmonic; multivalent; starlikeness; convexity; convolution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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