Novel Third-Order Differential Subordination and Superordination Results for Meromorphic p-valent Functions Involving a New Hadamard Product Operator
DOI:
https://doi.org/10.29304/jqcsm.2025.17.32405Keywords:
Differential Superordination, SubordinationAbstract
The purpose of this paper is to derive many third-order differential superordination and subordination results
Downloads
References
S. A. Al-Ameedee, W. G. Atshan and F. A. Al-Maamori, On sandwich results of univalent functions defined by a linear operator, Journal of Interdisciplinary Mathematics, 23 (4)(2020), 803-809.
S. A. Al-Ameedee, W. G. Atshan and F. A. Al-Maamori, Some new results of differential subordinations for higher-order derivatives of multivalent functions, Journal of Physics: Conference Series, 1804 (2021) 012111,1-11.
M. Albehbah and M. Darus, New subclass of multivalent hypergeometric meromorphic functions, Kragujevac Journal of Mathematics, 42(1)(2018),83-95.
J. A. Antonino and S. S. Miller, Third-order differential inequalities and subordinations in the complex plane ,Complex Var. Elliptic Equ. ,56(2011),439-545.
W. G. Atshan, I. A. Abbas and S. Yalcin, New concept on fourth-order differential subordination and superordination with some results for multivalent analytic functions, Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(1)(2020), 96-107.
W. G. Atshan and A. A. R. Ali, On some sandwich theorems of analytic functions involving Noor-Salagean operator, Advances in Mathematics: Scientific Journal, 9(10)(2020), 8455-8467.
W. G. Atshan and A. A. R. Ali, On sandwich theorems results for certain univalent functions defined by generalized operators, Iraqi Journal of Science, 62(7)(2021), pp:2376-2383.
W. G. Atshan, A. H. Battor and A. F. Abaas, On third-order differential subordination results for univalent analytic functions involving an operator, Journal of Physics: Conference Series, 1664 (2020) 012044, 1-19.
W. G. Atshan, A. H. Battor and A. F. Abaas, Some sandwich theorems for meromorphic univalent functions defined by new integral operator, Journal of Interdisciplinary Mathematics, 24(3)(2021), 579-591.
W. G. Atshan , A. H. Battor and A. F. Abaas and G. I. Oros, New and extended results on fourth-order differential subordination for univalent analytic functions, Al-Qadisiyah Journal of Pure Science, 25(2)(2020),1-13.
W. G. Atshan and R. A. Hadi, Some differential subordination and superordination results of p-valent functions defined by differential operator, Jurnal of Physics: Conference Series, 1664 (2020) 012043, 1-15.
W. G. Atshan, H. Z. Hassan and S. Yalcin, On Third-order differential subordination results for univalent functions defined by differential operator, Uzbek Mathematical Journal, 65(2)(2021), pp. 26-42.
W. G. Atshan and S. R. Kulkarni, On application of differential subordination for certain subclass of meromorphically p-valent functions with positive coefficients defined by linear operator, Journal of Inequalities in Pure and Applied Mathematics, Volume 10(2009), Issue 2 ,Article 53, 11pp.
H. A. Farzana, B. A. Stephen and M. P. Jeyaraman, Third-order differential subordination of analytic functions defined by functional derivative operator, An Stiint. Univ. Al. I. Cuza Iasi. Mat. (New Ser.), 62(2016), 105-120.
M. P. Jeyaraman and T. K . Suresh, Third-order differential subordination of analytic functions, Acta Univ. Apulensis Math. Inform., 35(2013), 187-202.
J. L. Liu, A linear operator and its applications on meromorphic p-valent functions, Bulletin of the Institute Mathematics Academia Sinica, 31(1)(2003), 23-32.
S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. ,28(1981), 157-171.
S. S. Miller and P. T. Mocanu, Differential subordinations: Theory and Applications, A Series on Monographs and Textbooks in Pure and Applied Math. , 225, Marcel Dekker Inc. , New York, Basel, (2000).
S. Ponnusamy and O. P. Juneja, Third-order differential inequalities in the complex plane, in Current Topics in Analytic Function Theory,World Scientific Publishing Company, Singapore ,New Jersey, London, and Hongkong, (1992).
D. Raducanu, Third-order differential subordinations for analytic functions associated with generalized Mittag-Leffler functions, Mediter: J. Math. , 14(4)(2017), Article ID 167, 1-18.
Q. A. Shakir and 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, 28 (2025), Article 2528. https://doi.org/10.52783/anvi.v28.2528
Q. A. Shakir and 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.
Q. A. Shakir and W. G. Atshan, Third-order sandwich results for analytic univalent functions involving a new Hadamard product operator, Iraqi Journal of Science, (2025), 2868–2887.
Q. A. Shakir and W. G. Atshan, Some sandwich theorems for meromorphic univalent functions defined by a new Hadamard product operator, Nonlinear Functional Analysis and Applications, (2025), 331–344.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Bassim Kareem Mihsin, Waggas Galib Atshan, Shatha S. Alhily

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.








