Results 11 to 20 of about 1,664 (262)

Convolution and differential subordination [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
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
doaj   +2 more sources

An Application of Differential Subordination [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
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
doaj   +3 more sources

On fuzzy differential subordination [PDF]

open access: yesMathematica Moravica, 2015
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.
doaj   +3 more sources

Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations

open access: yesMathematics, 2022
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
doaj   +3 more sources

Fractional Integral of the Confluent Hypergeometric Function Related to Fuzzy Differential Subordination Theory

open access: yesFractal and Fractional, 2022
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
doaj   +3 more sources

Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function

open access: yesFractal and Fractional, 2023
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
doaj   +3 more sources

Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator

open access: yesMathematics, 2023
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
doaj   +3 more sources

Third-Order Differential Subordinations Using Fractional Integral of Gaussian Hypergeometric Function

open access: yesAxioms, 2023
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
doaj   +1 more source

DIFFERENTIALSUBORDINATIONSANDFUZZY DIFFERENTIALSUBORDINATIONSUSING HILBERTSPACEOPERATOR

open access: yesSouth East Asian Journal of Mathematics and Mathematical Sciences, 2023
Differentialsubordinationhasrecentlybeenextendedfromthegeometric functiontheorytothe fuzzyset theorybyseveral authors. Inthispaper,we usethenotionoffuzzydifferentialsubordinationtointroducecertainfuzzyclasses usingHilbertSpaceOperator.Certaininterestingresultsareestablishedforthese classes.
Naik, Uday H.   +2 more
openaire   +1 more source

On Differential Subordination and Superordination for Univalent Function Involving New Operator

open access: yesIraqi Journal for Computer Science and Mathematics, 2022
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
doaj   +1 more source

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