Differential subordinations and superordinations result for analytic univalent functions using the Darus-Faisal operator

[1] R. Abd Al-Sajjad and W.G. Atshan, Certain analytic function sandwich theorems involving operator defined by Mittag-Leffler function, AIP Conf. Proc. 2398 (2022), 060065.

[2] 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 (2020), no. 4, 803–809.

[3] 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.

[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] 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(2006), no. 1, 17–30.

[6] W.G. Atshan and A.A.R. Ali, On some sandwich theorems of analytic functions involving Noor-Salagean operator, Adv. Math.: Sci. J. 9 (2020), no. 10, 8455–8467.

[7] W.G. Atshan and A.A.R. Ali, On sandwich theorems results for certain univalent functions defined by generalized operators, Iraqi J. Sci. 62 (2021), no. 7, 2376–2383.

[8] 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 (2021), no. 3, 579–591.

[9] 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.

[10] 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 (2009), no. 2, 11.

[11] 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 (2021), no. 9, 1653.

[12] T. Bulboaca, Classes of first–order differential superordinations, Demonst. Math. 35 (2002), no. 2, 287–292.

[13] T. Bulboaca, Differential subordinations and superordinations, recent results, House of Scientific Book Publ. Cluj-Napoca, 2005.

[14] M. Darus, and I. Faisal, A different approach to normalized analytic functions through meromorphic functions defined by extended multiplier transformations operator, Int. J. App. Math. Stat. 23 (2011), no. 11, 112–121.

[15] I.A. Kadum, W.G. Atshan and A.T. Hameed, Sandwich theorems for a new class of complete homogeneous symmetry, functions by using cyclic operator, Symmetry 14 (2022), no. 10, 2223.

[16] B.K. Mihsin, W.G. Atshan and S.S. Alhily, On new sandwich results of univalent functions defined by a linear operator, Iraqi J. Sci. 63 (2022), no. 12, 5467–5475.

[17] 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.

[18] S.S. Miller and P.T. Mocanu, Subordinants of differential superordinations, Complex Variables 48 (2003), no. 10, 815–826.

[19] M.A. Sabri, W.G. Atshan and E. El-Seidy, On sandwich-type results for a subclass of certain univalent functions using a new Hadamard product operator, Symmetry 14 (2022), no. 5, 931.

[20] 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 (2023), no. 2, 1–10.

[21] T.N. Shanmugam, S. Shivasubramaniam and H. Silverman, On sandwich theorems for classes of analytic functions, Int. J. Math. Sci. 29684 (2006), 1–13.

[22] S.D. Theyab, W.G. Atshan and H.K. Abdullah, On some sandwich results of univalent functions related by differential operator, Iraqi J. Sci. 63 (2022), no. 11, 4928–4936.