Results 231 to 240 of about 1,664 (262)

DIFFERENTIAL SUBORDINATION RESULTS FOR ANALYTIC FUNCTIONS

Asian-European Journal of Mathematics, 2013
In this paper, a new class of analytic functions is introduced on the unit disk U which is defined by a certain differential operator. Some inclusion properties are discussed. Indeed, three other classes are also introduced and some differential subordination results are obtained.
El-Ashwash, Rabha M., Aouf, Mohamed K., Darus, Maslina   +2 more
openaire   +1 more source

Briot-bouquet differential equations and differential subordinations

Complex Variables, Theory and Application: An International Journal, 1997
Let β and γ be complex numbersn a positive integer, and let h be analytic in the unit disk U. This article describes conditions under which the Briot-Bouquet differential equation has analytic and univalent solutions. If h is also univalent then conditions are determined for the best dominants of the Briot-Bouquet differential subordination In addition,
Sanford S. Miller, Petru T. Mocanu
openaire   +1 more source

Differential subordinations and geometric means

Complex Variables, Theory and Application: An International Journal, 1996
Let α e [0,1]p be an analytic function in the unit disc E q and h be analytic and univalent functions in E, Φ be an analytic function in a certain domain D⊃ q (E). The authors study the differential subordinations and where z⊂E Examples of the application of these results are given.
S. Kanas, A. Lecko, J. Stankiewicz
openaire   +1 more source

Differential subordinations and argument inequalities

Journal of the Franklin Institute, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jin-Lin, Ahuja, Om P.
openaire   +1 more source

On a Briot-Bouquet Differential Subordination

1983
The paper includes the text published under the same title in Prepr., ''Babes-Bolyai'' Univ., Fac. Math., Res. Semin. 4, 1-13 (1983; Zbl 0525.30015).
Eenigenburg, Paul, Miller, Sanford S., Mocanu, Petru T., Reade, Maxwell O.   +3 more
openaire   +3 more sources

Differential Subordinations for Analytic Functions

Iranian Journal of Science and Technology, Transactions A: Science, 2017
In this article, we determine the conditions on $$\beta$$ such that $$1+\beta zp^{\prime }(z)\prec \sqrt{1+cz}$$
Mohsan Raza, Janusz Sokół, Saima Mushtaq   +2 more
openaire   +1 more source

Subordinate Solutions of a Differential Equation

Computational Methods and Function Theory, 2006
The mapping properties of solutions of the differential equation \(zF_\lambda(z)+\lambda \psi F_\lambda (z)=\lambda \phi(z)\), \(F_\lambda(0)=0\), \(\lambda >0\), where \(\psi(z)=1+cz+\cdots\) is a function with positive real part in \(D=\{z:| z| 0\) and \( F_{\lambda_1} \prec F_{\lambda_2} \prec I\) for ...
openaire   +1 more source

Differential subordination of harmonic mean

Computational Methods and Function Theory, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cho, Nak Eun, Lecko, Adam
openaire   +2 more sources

Differential subordinations and Pythagorean means

Mathematica Slovaca, 2020
AbstractThe aim of this paper is to generalize several differential subordination results, involving arithmetic, geometric and harmonic means of the expressionsp(z) andp(z)+zp′(z)p(z).$\begin{array}{} p(z)+\frac{zp'(z)}{p(z)}. \end{array} $Are also given certain applications of the main results.
openaire   +2 more sources

Differential subordinations concerning starlike functions

Proceedings of the Indian Academy of Sciences - Section A, 1994
Let \(A\) denote the family of functions \(f\) that are analytic in the disk \(| z|
openaire   +1 more source