Results 11 to 20 of about 3,078 (325)

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

open access: goldMathematics, 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   +5 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   +5 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   +4 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   +4 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   +4 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   +4 more sources

Fuzzy Differential Subordination for Meromorphic Function

open access: yesAxioms, 2022
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
Sheza El-Deeb   +3 more
doaj   +3 more sources

Differential Subordination and Superordination for Srivastava-Attiya Operator [PDF]

open access: yesInternational Journal of Differential Equations, 2011
Due to the well-known Srivastava-Attiya operator, we investigate here some results relating the p-valent of the operator with differential subordination and subordination. Further, we obtain some interesting results on sandwich-type theorem for the same.
Maisarah Haji Mohd, Maslina Darus
doaj   +4 more sources

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

Third-order differential subordination and superordination involving a fractional operator

open access: yesOpen 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
doaj   +2 more sources

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