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Convolution and differential subordination [PDF]
Let A denote the class of all functions f analytic in the open unit disc U with f(0) 0 f'(0)-1. Let h be any convex univalent analytic function on U with h(0) and Re h(z) > 0 in U. Let g A be fixed.
T. N. Shanmugam
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An Application of Differential Subordination [PDF]
We apply the general theory of differential subordination to obtain certian interesting criteria for 𝑝-valent starlikeness and strong starlikeness. Some applications of these results are also discussed.
T. N. Shanmugam, M. P. Jeyaraman
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On fuzzy differential subordination [PDF]
The theory of differential subordination was introduced by S.S. Miller and P.T. Mocanu in [2], then developed in many papers. In [1] the authors investigate various subordination results for some subclasses of analytic functions in the unit disc.
Haydar Eṣ A.
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Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations
Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory.
Georgia Irina Oros, Simona Dzitac
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The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu +2 more
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Using the results of third-order differential subordination, we introduce certain families of admissible functions and discuss some applications of third-order differential subordination for meromorphic functions associated with a linear operator ...
Adel A. Attiya +2 more
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In this study, we explore the implications of a third-order differential subordination in the context of analytic functions associated with fractional differential operators.
Faten Fakher Abdulnabi +3 more
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Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011.
Georgia Irina Oros +2 more
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DIFFERENTIALSUBORDINATIONSANDFUZZY DIFFERENTIALSUBORDINATIONSUSING HILBERTSPACEOPERATOR
Differentialsubordinationhasrecentlybeenextendedfromthegeometric functiontheorytothe fuzzyset theorybyseveral authors. Inthispaper,we usethenotionoffuzzydifferentialsubordinationtointroducecertainfuzzyclasses usingHilbertSpaceOperator.Certaininterestingresultsareestablishedforthese classes.
Naik, Uday H. +2 more
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On Differential Subordination and Superordination for Univalent Function Involving New Operator
The goal of this paper is to investigate some of the features of differential subordination of analytic univalent functions in an open unit disc. In addition, it has shed light on geometric features such as coefficient inequality, Hadamard product ...
Mustafa I. Hameed +1 more
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