Results 271 to 280 of about 153,178 (286)
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Differential subordinations and argument inequalities
Journal of the Franklin Institute, 2010Abstract The main object of the present paper is to investigate certain properties of multivalent functions associated with a linear operator I p λ ( a , c ) .
Jin-Lin Liu, Om P. Ahuja
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Differential subordinations and Pythagorean means
Mathematica Slovaca, 2020AbstractThe 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.
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Differential subordinations and geometric means
Complex Variables, Theory and Application: An International Journal, 1996Let 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.
J. Stankiewicz+2 more
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Subordinate Solutions of a Differential Equation
Computational Methods and Function Theory, 2006In 2003, Ruscheweyh and Suffridge settled a conjecture of Polya and Schoenberg on subordination of the de la Vallee Poussin means of an analytic function by defining a continuous extension of the de la Vallee Poussin means using a differential equation.
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On a Briot-Bouquet Differential Subordination
1983Let p(z) be analytic in the unit disc Δ, let h(z) be convex (univalent) in Δ, and let β and γ be complex numbers. The authors show that if p(z) = zp′(z)(βp(z) + γ)−1 ≺ h(z) (where ≺ denotes subordination), then p(z) ≺ h(z). They prove, further, that if, in addition, the differential equation q(z) + zq′(z)(βq(z) + γ)−1 = h(z) has a univalent solution q ...
Sanford S. Miller+3 more
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Briot-bouquet differential equations and differential subordinations
Complex Variables, Theory and Application: An International Journal, 1997Let 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
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Differential subordination and starlike functions
Complex Variables, Theory and Application: An International Journal, 1992Let p be analytic in the unit disc U and let h be univalent in U In addition, let . The author determines conditions on ψ when ψ is one of the following forms: so that . Applications of these results to the class of starlikc functions are also presented.
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Differential analysis of gene regulation at transcript resolution with RNA-seq
Nature Biotechnology, 2013Cole Trapnell+2 more
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