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Mathematics, 2023 The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
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ON APPLICATIONS OF DIFFERENTIAL SUBORDINATION [PDF]
International Journal of Pure and Apllied Mathematics, 2013 Using a generalized differential operator we define certain sub- classes of analytic functions and study about their inclusion relationships using differential subordination.
A. Selvam, P.S. Kala, N. Marikkannan
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Some Special Differential Subordinations
Hacettepe Journal of Mathematics and Statistics, 2018 Summary: For an analytic function \(p\) satisfying \(p(0) = 1\), we obtain sharp estimates on \(\beta\) such that the first order differential subordination \(p(z) + \beta zp'(z) \prec \mathcal{P}(z)\) or \(1 + \beta zp'(z)/p^j(z) \prec \mathcal{P}(z)\), \(j = 0,1,2\) implies \(p(z) \prec \mathcal{Q}(z)\) where \(\mathcal{P}\) and \(\mathcal{Q}\) are ...
BOHRA, Nisha +2 more
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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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Application of Pythagorean means and Differential Subordination
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022 For $0\leqα\leq 1,$ let $H_α(x,y)$ be the convex weighted harmonic mean of $x$ and $y.$ We establish differential subordination implications of the form \begin{equation*} H_α(p(z),p(z)Θ(z)+zp'(z)Φ(z))\prec h(z)\Rightarrow p(z)\prec h(z), \end{equation*} where $Φ,\;Θ$ are analytic functions and $h$ is a univalent function satisfying some special ...
Kumar, Shanmugam Sivaprasad +1 more
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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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Journal of Inequalities and Applications, 2019 Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functions associated with generalized fractional
Hanaa M. Zayed, Teodor Bulboacă
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Some applications of differential subordination
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. M. Srivastava 0001, Adel A. Attiya
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Marx-Strohhacker Differential Subordination Systems [PDF]
Proceedings of the American Mathematical Society, 1987 Let f ( z ) = z +
Miller, Sanford S., Mocanu, Petru T.
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Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations
Mathematics, 2021 The fractional integral of confluent hypergeometric function is used in this paper for obtaining new applications using concepts from the theory of fuzzy differential subordination and superordination.
Alina Alb Lupaş
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