Results 31 to 40 of about 1,424,878 (283)
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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, 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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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 implications for certain Carathéodory functions [PDF]
, 2023 In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties.
JAIN, Naveen Kumar +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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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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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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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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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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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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