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Wanas, Abbas Kareem

Differential subordination results for Abbas-starlike function in the upper half-plane. (English) Zbl 1465.30006

Int. J. Adv. Appl. Math. Mech. 6, No. 3, 27-34 (2019).
Summary: In the present paper, we define new class of analytic functions in the upper half-plane \(D=\{z \in \mathbb{C}: \mathrm{Re}(z)>0\}\). Also, by investigating appropriate classes of admissible functions, we obtain differential subordination results for functions belongs to this new class.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination

Keywords:

differential subordination; Abbas-starlike functions; upper half-plane; admissible functions
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References:

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