On Special Fuzzy Differential Superordination For Univalent Functions Defined by Integral Operator
DOI:
https://doi.org/10.29304/jqcsm.2025.17.11996Keywords:
Integral operator, Hurwitz-lerch Zeta function, fuzzy differential subordination, fuzzy differential superordinationAbstract
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.
Downloads
References
W. G. Atshan and Khudair O. Hussain. "Fuzzy differential superordination." Theory and Applications of Mathematics & Computer Science, 7(1) (2017): 27.
S. S. Miller, P. T. Mocanu, Subordinants of differential superordinations, Complex Variables, 48 (10) (2003), 815–826.
S. S. Miller, P. T. Mocanu, Differential Subordinations: Theory and Applications, Pure Appl. Math., vol. 225, Dekker, New York, (2000).
G. I. Oros, Gh. Oros, The notion of subordination in fuzzy set theory, General Mathematics, Vol. 19, Issue 4, (2011), pp. 97-103
G. I. Oros and Gh. Oros, Fuzzy differential subordination, Acta Universitatis Apulensis, 30 (2012), 55-64.
G. I. Oros and Gh. Oros, Dominants and best dominants in fuzzy differential subordinations, Stud. Univ. Babeş - Bolyai Math., 57 (2012), 239-248.
N. N. Pascu, Alpha-close-to-convex functions, Romanian Finish Seminar on Complex Analysis, Springer-Verlag, Berlin, (1979), 331-335.
Q. A. Shakir, F. M. Sakar, "On Third-Order Differential Subordination and Superordination Properties of Analytic Functions Defined by Tayyah-Atshan Fractional Integral Operator" Advances in Nonlinear Variational Inequalities. (2025). https://doi.org/10.52783/anvi.v28.2528.
Q. A. Shakir, W. G. Atshan. "On Sandwich Results of Univalent Functions Defined by Generalized Abbas-Atshan Operator." Journal of Al-Qadisiyah for Computer Science and Mathematics 15.4 (2023): 11-20.
A. S. Tayyah, W. G. Atshan, "Differential subordination and superordination results for p-valent analytic functions associated with (r,k)-Srivastava fractional integral calculus," MethodsX. 13(2024), 103079.
L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Raghda Naser Abdul-Hussain, Waggas Galib Atshan
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
