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Some sandwich theorems for meromorphic univalent functions defined by Hadamard product of integral operators | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، Special Issue، اسفند 2021، صفحه 2403-2412 اصل مقاله (448.26 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.6293 | ||
نویسندگان | ||
Waggas Galib Atshan1؛ Suad Hassan Mahdy* 2 | ||
1Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniyah, Iraq | ||
2Department of Mathematics, College of Education for Girls, University of Kufa, Najaf, Iraq | ||
تاریخ دریافت: 21 مهر 1400، تاریخ بازنگری: 19 آبان 1400، تاریخ پذیرش: 16 آذر 1400 | ||
چکیده | ||
In the present paper, we obtain some subordination and superordination results, involving the operator $T^{a}$ for functions of the form $f(z)=z^{-1}+\sum_{k=1}^{\infty}a_k z^{k}$, which are meromorphic univalent in the punctured open unit disk these results are applied to obtain sandwich results. | ||
کلیدواژهها | ||
Analytic function؛ Univalent subordination؛ Superordination Hadamard (convolution)؛ Sandwich theorems | ||
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, M.H. Khan and K.G. Subramanian, Differential sandwich theorems for certain analytic functions, Far East J. Math. Sci. 15 (2004) 87–94. [4] F.M. Al-Oboudi and H.A. Al-Zkeri, Applications of Briot-Bouquet differential subordination to some classes of meromorphic functions, Arab J. Math. Sci. 12(1) (2006) 17–30. [5] W.G. Atshan and A.A.R. Ali, On some sandwich theorems of analytic functions involving Noor-Saˇlaˇgean operator, Adv. Math.: Sci. J. 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 J. Sci. 62(7) (2021) 2376–2383. [7] W.G. Atshan, A.H. Battor and A.F. Abaas, Some sandwich theorems for meromorphic univalent functions defined by new integral operator, J. Interdiscip.Math. 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, J. Phys.: Conf. Ser. 1664 (2020) 012043. [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, J. Inequal. Pure Appl. Math. 10(2) (2009). [10] W.G. Atshan, I.A.R. Rahman and A.A. Lupas, Some results of new subclasses for bi-univalent functions using quasi-subordination, Symmetry 13(9) (2021) 1653. [11] T. Bulboacˇa, Classes of first-order differential superordinations, Demonstration Math. 35(2) (2002) 287–292. [12] T. Bulboacˇa, Differential subordinations and superordinations, Recent Results, House of Scientific Book Publ. Cluj-Napoca, 2005. [13] R.M. El-Ashwah and M.K. Aouf, Differential subordination and superordination for certain subclasses of p-valent functions, Math. Comput. Model. 51(5-6) (2010) 349–360. [14] A.Y. Lashin, On certain subclass of meromorphic functions associated with certain integral operators, Comput. Math. Appl. 59 (2010) 524–531. [15] S.S. Miller and P.T. Mocanu, Differential subordinations: Theory and applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker Inc. New York and Basel, 2000. [16] S.S. Miller and P.T. Mocanu, Subordinants of differential superordinations, Complex Var. 48(10) (2003) 815–826. [17] T.N. Shanmugam, S. Shivasubramaniam and H. Silverman, On sandwich theorems for classes of analytic functions, Int. J. Math. Sci. 2006 (2006) 1–13. | ||
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