Abstract
The existing literature in Geometric Function Theory of Complex Analysis contains a considerably large number of interesting investigations dealing with differential subordination and differential superordination problems for analytic functions in the unit disk. Nevertheless, only a few of these earlier investigations deal with the above-mentioned problems in the upper half-plane. The notion of differential subordination in the upper half-plane was introduced by R˘aducanu and Pascu in [16]. For a set W in the complex plane C, let the function p(z) be analytic in the upper half-plane D given by D = {z : z ∈ C and ?(z) > 0} and suppose that y : C3×D →C. The main object of this article is to consider the problem of determining properties of functions p(z) that satisfy the following differential superordination: W ⊂ { y p(z), p′(z), p′′(z); z } : z ∈ D
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/110502
Recommended Citation
Tang, Huo; M. Srivastava, H.; and Deng, Guan-Tie
(2017)
"Some Families of Analytic Functions in the Upper Half- Plane and Their Associated Differential Subordination and Differential Superordination Properties and Problems,"
Applied Mathematics & Information Sciences: Vol. 11
:
Iss.
5
, Article 2.
DOI: http://dx.doi.org/10.18576/amis/110502
Available at:
https://dc.naturalspublishing.com/amis/vol11/iss5/2