Oros, Georgia Irina and Oros, Gheorghe (2020) Differentia Subordinations for Non-analytic Functions. In: Theory and Applications of Mathematical Science Vol. 1. B P International, pp. 129-141. ISBN 978-93-89562-13-2
Full text not available from this repository.Abstract
In paper [1], Petru T. Mocanu has obtained sufficient conditions for a function in the classes C1(U), respectively C2(U) to be univalent and to map U onto a domain which is starlike (with respect to origin), respectively convex. Those conditions are similar to those in the analytic case. In paper [2], Petru T. Mocanu has obtained sufficient conditions of univalency for complex functions in the class C1 which are also similar to those in the analytic case. Having those papers as inspiration, we have tried to introduce the notion of subordination for non-analytic functions of classes C1 and C2 following the classical theory of differential subordination for analytic functions introduced by S.S. Miller and P.T. Mocanu in papers [3] and [4] and developed in the book [5]. Let Ω be any set in the complex plane C, let p be a non-analytic function in the unit disc U, p ∈ C2(U) and let ψ(r, s, t; z) : C3×U → C. In article [6] we have considered the problem of determining properties of the function p, non-analytic in the unit disc U, such that p satisfies the differential subordination.
Item Type: | Book Section |
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Subjects: | Library Keep > Mathematical Science |
Depositing User: | Unnamed user with email support@librarykeep.com |
Date Deposited: | 27 Nov 2023 04:47 |
Last Modified: | 27 Nov 2023 04:47 |
URI: | http://archive.jibiology.com/id/eprint/1954 |