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Inclusion properties of planar harmonic mappings associated with the Wright function

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ABSTRACT The prime purpose of this article aims to establish connections between various sub-classes of harmonic univalent mappings by applying a convolution operator associated with the well-known Wright function. In… Click to show full abstract

ABSTRACT The prime purpose of this article aims to establish connections between various sub-classes of harmonic univalent mappings by applying a convolution operator associated with the well-known Wright function. In particular, the inclusion relations among Goodman–Rønning-type harmonic univalent mappings, harmonic k-uniformly convex mappings and harmonic k-uniformly starlike mappings in the plane are established.

Keywords: properties planar; wright function; planar harmonic; inclusion properties; function

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2020

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