Subordinants of differential superordinations
Top Cited Papers
- 1 October 2003
- journal article
- research article
- Published by Taylor & Francis Ltd in Complex Variables and Elliptic Equations
- Vol. 48 (10), 815-826
- https://doi.org/10.1080/02781070310001599322
Abstract
Let Ω be any set in the complex plane ℂ, let p be analytic in the unit disk U and let ψ (r, s, t; z). In this article we consider the problem of determining properties of functions p that satisfy the differential superordination Ω ⊂ {ψ(p(z), z 2 p"(z);z)|z ∈ U}.Keywords
This publication has 2 references indexed in Scilit:
- Subordination by convex functionsProceedings of the American Mathematical Society, 1975
- Some remarks on convex maps of the unit diskDuke Mathematical Journal, 1970