On Sandwich Results of Meromorphic Univalent Functions Defined by New Hadamard Product Operator
DOI:
https://doi.org/10.29304/jqcm.2023.15.1.1180Keywords:
superordination, subordination, convolution, sandwich theoremsAbstract
" In the present paper, we obtain differential subordination and superordination results for meromorphic univalent functions defined by a new Hadamard product operator in a punctured open unit disk. We get a number of sandwich-type results.
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References
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[2] 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.
[3] 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.
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[8] W. G. Atshan and R. A. Hadi, Some differential subordination and superordination results of p-valent functions defined by differential operator, Journal of Physics: Conference Series, 1664 (2020) 012043, 1-15.
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[13] I. A. Kadum, W. G. Atshan and A. T. Hameed, sandwich theorems for a new class of complete homogeneous symmetric function by using cyclic operator, Symmetry, 14(10)(2022), 2223, 1-16.
[14] B. K. Mihsin, W. G. Atshan and S. S. Alhily, On new sandwich results of univalent functions defined by a linear operator, Iraqi Journal of science, 63(12)2022, PP: 5467-5475.
[15] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Text Books in Pure and Applied Mathematics, 225, Marcel Dekker, New York and Basel, (2000).
[16] S. S. Miller and P. T. Mocanu, Subordinats of differential superordinations, Complex, Var. Theory Appl.,48(2003),815-826 .
[17] M. A. Sabri, W. G. Atshan and E. El-Seidy, On sandwich-type results for a subclass of certion univalent functions using a new Hadamard product operator, Symmetry, 14(5)(2022), 931, 1-11.
[18] F. O. Salman and W. G. Atshan, New results on integral operator for a subclass of analytic functions using differential subordinations and superordinations, Symmetry,15(2)(2023), 295, 1-10.
[19] N. Seenivasagan, Differential Subordination and Superordination for Analytic and Meromorphic Functions Defined by Linear Operator, Doctoral Dissertation, University Sains Malaysia, (2007).
[20] T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian, Differential sandwich theorems for subclasses of analytic functions, Aust. J. Math. Anal. Appl., 3 (2006), Article 8,1–11.
[21] T. N. Shanmugam, S. Shivasubramanian and H. Silverman, On sandwich theorems for some classes of analytic functions, Int. J. Math. Math. Sci. (2006), Article ID 29684,1-13.
[22] S. D. Theyab, W. G. Atshan, A. A. Lupas and H. K. Abdullah, New results on higher-order differential subordination and superordination for univalent analytic functions using a new operator, Symmetry, 14(8)(2022), 1576,1-12.
[23] S. D. Theyab, W. G. Atshan and H. K. Abdullah, On some sandwich results of univalent functions related by differential operator, Iraqi Journal of science, 63(11)(2022), PP:4928-4936.
[2] 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.
[3] 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.
[4] R. M. Ali, V. Ravichandran, M. H. Khan and K. G. Subramanian, Differential sandwich theorems for certain analytic functions, Far East J. Math. Sci.,15(2004), 87-94.
[5] W. G. Atshan and A. A. R. Ali, On some sandwich theorems of analytic functions involving Noor –Sâlâgean operator, Advances in Mathematics: Scientific Journal, 9(10)(2020), 8455-8467.
[6] 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.
[7] W. G. Atshan, A. H. Battor and A. F. Abass, Some sandwich theorems for meromorphic univalent functions defined by new integral operator, Journal of Interdisciplinary Mathematics , 24(3)(2021), 579-591.
[8] W. G. Atshan and R. A. Hadi, Some differential subordination and superordination results of p-valent functions defined by differential operator, Journal of Physics: Conference Series, 1664 (2020) 012043, 1-15.
[9] 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, 10(2)(2009), Article 53, 11 pp.
[10] T. Bulboacã, Classes of first-order differential superordinations, Demonstration Math., 35(2)2002),287-292.
[11] T. Bulboaca, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca,(2005 ).
[12] S. P. Goyal, P. Goswami and H. Silverman, Subordination and superordination results for a class of analytic multivalent functions, Int. J. Math. Math. Sci., (2008), Article ID 561638,1–12.
[13] I. A. Kadum, W. G. Atshan and A. T. Hameed, sandwich theorems for a new class of complete homogeneous symmetric function by using cyclic operator, Symmetry, 14(10)(2022), 2223, 1-16.
[14] B. K. Mihsin, W. G. Atshan and S. S. Alhily, On new sandwich results of univalent functions defined by a linear operator, Iraqi Journal of science, 63(12)2022, PP: 5467-5475.
[15] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Text Books in Pure and Applied Mathematics, 225, Marcel Dekker, New York and Basel, (2000).
[16] S. S. Miller and P. T. Mocanu, Subordinats of differential superordinations, Complex, Var. Theory Appl.,48(2003),815-826 .
[17] M. A. Sabri, W. G. Atshan and E. El-Seidy, On sandwich-type results for a subclass of certion univalent functions using a new Hadamard product operator, Symmetry, 14(5)(2022), 931, 1-11.
[18] F. O. Salman and W. G. Atshan, New results on integral operator for a subclass of analytic functions using differential subordinations and superordinations, Symmetry,15(2)(2023), 295, 1-10.
[19] N. Seenivasagan, Differential Subordination and Superordination for Analytic and Meromorphic Functions Defined by Linear Operator, Doctoral Dissertation, University Sains Malaysia, (2007).
[20] T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian, Differential sandwich theorems for subclasses of analytic functions, Aust. J. Math. Anal. Appl., 3 (2006), Article 8,1–11.
[21] T. N. Shanmugam, S. Shivasubramanian and H. Silverman, On sandwich theorems for some classes of analytic functions, Int. J. Math. Math. Sci. (2006), Article ID 29684,1-13.
[22] S. D. Theyab, W. G. Atshan, A. A. Lupas and H. K. Abdullah, New results on higher-order differential subordination and superordination for univalent analytic functions using a new operator, Symmetry, 14(8)(2022), 1576,1-12.
[23] S. D. Theyab, W. G. Atshan and H. K. Abdullah, On some sandwich results of univalent functions related by differential operator, Iraqi Journal of science, 63(11)(2022), PP:4928-4936.
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Published
2023-04-05
How to Cite
Abbas, Y. W., & Atshan, W. G. (2023). On Sandwich Results of Meromorphic Univalent Functions Defined by New Hadamard Product Operator. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(1), Math Page 162–173. https://doi.org/10.29304/jqcm.2023.15.1.1180
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Math Articles
