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Some applications of differential subordination [PDF]
Bulletin of the Australian Mathematical Society, 1985 Let Sa (h) denote the class of analytic functions f on the unit disc E with f (0) =0 = f′ (0) −1 satisfying , where (a real), denotes the Hadamard product of Ka with f, and h is a convex univalent function on E, with Re h > 0. Let . It is proved that F ε Sa (h) whenever f ε Sa (h) and also that for a ≥ 1.
K. S. Padmanabhan, R. Parvatham
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Third-order differential subordination and superordination involving a fractional operator
Open Mathematics, 2015 The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W. +2 more
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Starlikeness Using Special Functions and Subordination [PDF]
arXiv, 2023 The association of subordination and special functions is used to find sharp estimates on the parameter $\beta$ such that the analytic function $p(z)$ is subordinate to certain functions having positive real part whenever $p(z)+\beta z p'(z)$ is subordinate to the Janowski function.
arxiv
Differential subordination and argumental property
Computers & Mathematics with Applications, 2008 AbstractFor analytic functions f(z) in the open unit disk E and convex functions g(z) in E, Ch. Pommerenke [Ch. Pommerenke, On close-to-convex analytic functions, Trans. Amer. Math. Soc. 114 (1) (1965) 176–186] has proved one theorem which is a generalization of the result by K. Sakaguchi [K. Sakaguchi, On a certain univalent mapping, J. Math.
Mamoru Nunokawa +4 more
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Mathematics, 2022 The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
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Differential Subordination implications for Certain Carathéodory functions [PDF]
arXiv, 2021 In this article, we wish to establish some first order differential subordination relations for certain Carath\'{e}odory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions.
arxiv
Some applications of differential subordination
Applied Mathematics Letters, 2007 AbstractThe authors introduce a two-parameter function G(p,λ;z) which is shown to play an important rôle in a unified presentation of many interesting subclasses of analytic and p-valent functions in the open unit disk U. Making use of the familiar principle of differential subordination, several properties and relationships involving the function G(p ...
Adel A. Attiya, Hari M. Srivastava
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On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions
Mathematics, 2020 In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby +2 more
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New fuzzy differential subordinations
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 In this paper, some new fuzzy differential subordinations obtained by using the integral operator Im γ : An →An introduced in [13] are obtained.
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Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator
Mathematics, 2023 The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory.
Ekram Elsayed Ali +3 more
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