Results 221 to 230 of about 1,664 (262)

Differential Subordinations in Harmonic Mappings

2021
Differential subordination of analytic functions proved to be useful in many applications. The book of Miller and Mocanu ((2000) Differential Subordinations. In Theory and applications, monographs and textbooks in pure and applied mathematics, vol 225.
Aydoğan, Melike   +3 more
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An Application of Differential Subordinations

Mathematische Nachrichten, 1990
AbstractBy using the method of differential subordinations we obtain a result which gives some criteria for univalency in the unit disk.
Obradović, Milutin, Owa, Shigeyoshi
openaire   +1 more source

Differential subordination and conformal mappings

Complex Variables, Theory and Application: An International Journal, 1989
Suppose that N(z), D(z) are functions analytic in the unit disc \(\Delta\), \(N(0)=D(0)=0\) and that D(z) maps \(\Delta\) onto a domain starlike w.r.t. the origin. The subject of this paper is to impose a sufficient condition on D(z) which guarantee that the implication \[ Re\{N'(z)/D'(z)\}>0\quad \Rightarrow \quad Re\{N(z)/D(z)\}>\alpha >0 \] holds in
Karunakaran, V., Ponnusamy, S.
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Subordinants of differential superordinations

Complex Variables, Theory and Application: An International Journal, 2003
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}.
Sanford S. Miller, Petru T. Mocanu
openaire   +1 more source

On some differential subordinations

Studia Scientiarum Mathematicarum Hungarica, 2017
The purpose of this work is to present a new geometric approach to some problems in differential subordination theory. We also discuss the new results closely related to the generalized Briot-Bouquet differential subordination.
Mamoru Nunokawa, Janusz Sokół
openaire   +1 more source

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