Results 41 to 50 of about 3,078 (325)
Applications of differential subordination
Applied Mathematics Letters, 2006 In this paper the authors use the techniques of differential subordinations in the complex plane and that of convolution, to introduce certain subclasses of analytic functions on the unit disk. In particular, they obtain various subclasses of analytic functions that have been previously investigated by Padmanabhan and Parvatham; Padmanabhan and Manjini,
Öznur Özkan, Osman Altintas
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, 2021 In this paper, we study third-order differential subordination of univalent functions defined by differential operator.
Atshan W.G., Yalçin S., Hassan H.Z.
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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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Fuzzy Differential Subordination Associated with a General Linear Transformation
, 2023 In this study, we investigate a possible relationship between fuzzy differential subordination and the theory of geometric functions. First, using the Al-Oboudi differential operator and the Babalola convolution operator, we establish the new operator ...
Ferdous M. O. Tawfiq +5 more
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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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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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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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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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