On Special Fuzzy Differential Superordination For Univalent Functions Defined by Integral Operator

Miller and Mocanu introduced the concept of differential superordination as the dual counterpart to differential subordination, as discussed in [3]. In [4], the notion of fuzzy subordination was introduced, while in [5], the authors extended this idea by defining fuzzy differential subordination. Furthermore, in [6], They derived conditions under which a function acts as a dominant in fuzzy differential subordination and determined the optimal dominant. This work focuses on investigating certain special cases of fuzzy differential superordination for univalent functions defined by an integral operator.

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Journal
Journal of Al-Qadisiyah for Computer Science and Mathematics
Published
2025-03-30
DOI
https://doi.org/10.29304/jqcsm.2025.17.11996
Primary Topic
Analytic and geometric function theory
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article
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article

On Special Fuzzy Differential Superordination For Univalent Functions Defined by Integral Operator

Waggas Galib Atshan, Raghda Naser Abdul-Hussain
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Journal of Al-Qadisiyah for Computer Science and Mathematics
Analytic and geometric function theory
article

On Special Fuzzy Differential Superordination For Univalent Functions Defined by Integral Operator

Waggas Galib Atshan, Raghda Naser Abdul-Hussain
article en

Abstract

Miller and Mocanu introduced the concept of differential superordination as the dual counterpart to differential subordination, as discussed in [3]. In [4], the notion of fuzzy subordination was introduced, while in [5], the authors extended this idea by defining fuzzy differential subordination. Furthermore, in [6], They derived conditions under which a function acts as a dominant in fuzzy differential subordination and determined the optimal dominant. This work focuses on investigating certain special cases of fuzzy differential superordination for univalent functions defined by an integral operator.

Journal of Al-Qadisiyah for Computer Science and MathematicsVol. 17(1)
University of Al-Qadisiyah (IQ)
Openalex Percentile: Top 88%
Analytic and geometric function theory
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