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Fourth-order differential subordination and superordination results of meromorphic multivalent functions defined by multiplier transformation | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، Special Issue، اسفند 2021، صفحه 2297-2313 اصل مقاله (475.67 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.6210 | ||
نویسندگان | ||
Amal Mohammed Darweesh* 1؛ Waggas Galib Atshan2؛ Ali Hussein Battor1 | ||
1Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq | ||
2Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, Iraq | ||
تاریخ دریافت: 25 مهر 1400، تاریخ بازنگری: 29 آبان 1401، تاریخ پذیرش: 19 آذر 1401 | ||
چکیده | ||
In this paper, we obtain some applications of fourth-order differential subordination and superordination results involving multiplier transformation $H_p (\tau,\psi)$, for p-valent functions. Also, we obtain several sandwich-type results. | ||
کلیدواژهها | ||
Hadamard Product؛ The Multiplier Transformations؛ Differential Subordination؛ Differential Superordination؛ Fourth-Order | ||
مراجع | ||
[1] S.A. Al-Ameedee, W.G. Atshan and F.A. Al-Maamori, On sandwich results of univalent functions defined by a linear operator, J. Interdiscip. Math.23(4) (2020) 803–809. [2] S.A. Al-Ameedee, W.G. Atshan and F.A. Al-Maamori, Some new results of differential subordinations for higherorder derivatives of multivalent functions, J. Phys.: Conf. Ser. 1804 (2021) 012111. [3] R.M. Ali, V. Ravichandran and N. Seenvasagan, Differential subordination and superordination of analytic functions defined by the multiplier transformation, Math. Inequal. Appl. 12 (2009) 123–139. [4] J.A. Antonino and S.S. Miller, Third-order differential inequalities and subordination in the complex plane, Complex Var. Elliptic Equ. 56 (2011) 439–454. [5] M.K. Aouf and T.M. Seoudy, Subordination and superordination of a certain integral operator on Meromorphic functions, Comput. Math. Appl. 59 (2010) 3669–3678. [6] W.G. Atshan, I.A. Abbas and S. Yalcin, New concept on fourth-order differential subordination and superodination with some results for multivalent analytic functions, J. Al-Qadisiyah Comput. Sci. Math. 12(1) (2020) 96–109. [7] W.G. Atshan and E.I. Badawi, On sandwich theorems for certain univalent functions defined by a new operator, J. Al-Qadisiyah Comput. Sci. Math. 11(2) (2019) 72–80. [8] W.G. Atshan, A.H. Battor and A.F. Abaas, On third-order differential subordination results for univalent analytic functions involving an operator, J. Physi.: Conf. Ser. 1664 (2020) 012041. [9] W.G. Atshan, A.H. Battor, A.F. Abaas and G.I. Oros, New and extended results on fourth-order differential subordination for univalent analytic functions, Al-Qadisiyah J. Pure Sci. 25(2) (2020) 1–13. [10] W.G. Atshan and R.A. Hadi, Some differential subordination and superordination results of p-valent functions defined by differential operator, J. Phys.: Conf. Ser. 1664 (2020) 012043. [11] W.G. Atshan and H.Z. Hassan, On differential subordination and superordination results of multivalent functions defined by a linear operator, Al-Qadisiyah J. Pure Sci. 25(1) (2020) 50–54. [12] W.G. Atshan and S.A.A. Jawad, On differential sandwich results for analytic functions, J. Al-Qadisiyah Comput. Sci. Math. 11(1) (2019) 96–101. [13] 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, J. Inequal. Pure Appl. Math. 10(2) (2009) 11. [14] N.E. Cho, T. Bulboaˇa and H.M. Srivastava, A general family of integral and associated subordination and superordination. properties of analytic function classes, Appl. Math. Comput. 219 (2012) 2278–2288. [15] N.E. Cho and M. Yoon, Subordination properties for meromorphic multivalent functions associated with the multiplier transformation, Appl. Math. Comput. 218 (2011) 729–733. [16] S.S. Miller and P.T. Mocanu, Differential Subordinations: Theory and Applications, CRC Press, 2000. [17] S.S. Miller and P.T. Mocanu, Subordinants of differential superordinations, Complex Var. 48(10) (2003) 815–826. [18] S.M. Sarangi and S.B. Uralegaddi, Certain differential operators for meromorphic functions, Bull. Cal. Math. Soc. 88 (1996) 333—336. [19] B.A. Uralegaddi and C. Somanatha, New criteria for meromorphic starlike functions, Bull. Austral. Math. Soc. 43 (1991) 137—140. [20] B.A. Uralegaddi and C. Somanatha, Certain differential operators for meromorphic functions, Houston J. Math. 17 (1991) 279—284. | ||
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