On the Linear Combinations of Slanted Half-Plane Harmonic Mappings

‎In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.

Keywords:

Harmonic univalent mappings , Linear combination , Slanted half-plane mappings

Authors

Ahmad Zireh

Department of Mathematics, Shahrood University of Technology, P.O.Box ۳۱۶-۳۶۱۵۵, Shahrood, Iran.

Mohammad Mehdi Shabani

Department of Mathematics, Shahrood University of Technology, Shahrood, Iran.

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D.M. Campbell, A survey of properties of the convex combination ...
J. Clunie and T. Sheil-Small, Harmonic univalent functions, Ann. Acad. ...
M. Dorff, M. Nowak, and M. Wooszkiewicz, Convolutions of harmonic ...
T.H. MacGregor, The univalence of a linear combination of convex ...
C. Pommerenke, On starlike and close-to-convex functions, Proc. Lond. Math. ...
S.Y. Trimble, The convex sum of convex functions, Math. Z., ...
Z.G. Wang, Z.H. Liu, and Y.C. Li, On the linear ...

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لینک ثابت به این Paper:

https://civilica.com/doc/892021

شناسه ملی سند علمی:

JR_SCMA-14-1_007

تاریخ نمایه سازی: 18 تیر 1398

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Zireh, Ahmad and Shabani, Mohammad Mehdi,1398,On the Linear Combinations of Slanted Half-Plane Harmonic Mappings,https://civilica.com/doc/892021

Scientometrics

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Ranking of Shahrood University of Technology

Type of center: دانشگاه دولتی

Paper count: 10,733

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