Zacytuj

[1] H. Aldweby and M. Darus, Some subordination results on q -analogue of Ruscheweyh differential operator, Abst. Appl. Anal., 2014, (2014), Article ID 958563, 1-6.10.1155/2014/958563Search in Google Scholar

[2] M. H. Annaby and Z.S.Mansour, q-Fractional Calculus and Equations, Lecture Notes in Maths, 2056, Springer-Verlag Berlin, Heidelberg 2012.10.1007/978-3-642-30898-7Search in Google Scholar

[3] M. K. Aouf, A. Shamandy, A. O. Mostafa and F. El-Emam, Subordination results associated with b-uniformly convex and starlike functions, Proc. Pakistan Acad. Sci. 46(2),(2009), 97-101.Search in Google Scholar

[4] M. K. Aouf, Bounded p-valent Robertson functions of order a, Indian J. Pure Appl. Math 16(7),(1985), 775-790.Search in Google Scholar

[5] M. K. Aouf, Bounded spiral-like functions with fixed second coefficients Inter.J.Math.Math. Sci. 12(1), (1989), 113-118.10.1155/S0161171289000153Search in Google Scholar

[6] M. K. Aouf, On a new criteria for univalent functions of order α, Rend.Math.Series-II, (1991), 47-59.Search in Google Scholar

[7] M. K. Aouf, Subordination properties for a certain class of analytic functions defined by the Salagean operator, Appl. Math. Lett. 22(10),(2009), 1581-1585.10.1016/j.aml.2009.05.005Search in Google Scholar

[8] M. K. Aouf, Bounded p-valent Robertson functions defined by using a differential operator, J. Frankl. Inst. 347(10),(2010), 1927-1941.10.1016/j.jfranklin.2010.10.012Search in Google Scholar

[9] M. K. Aouf and H.E. Darwish, On inequalities for certain analytic functions involving Ruscheweyh derivative, J. Math., 21(4),(1995), 387-393.Search in Google Scholar

[10] M. K. Aouf, H.E. Darwish and A.A.Attiya, A remark on certain regular functions defined by Ruscheweyh derivative, Proc.Pakistan.Acad.Sci., 37(1)(2000),67-69.Search in Google Scholar

[11] M. K. Aouf, and A.A.Al-Dohiman, Fixed second coefficient for certain subclasses of starlike functions with negative coefficients, Demonstratio Math., 38(3),(2005),551-565.10.1515/dema-2005-0305Search in Google Scholar

[12] M. K. Aouf and H.M.Hossen, Notes on certain classes of analytic function defined by Ruscheweyh derivative, Taiwense.T .Math., 1(1), (1997),11-19.Search in Google Scholar

[13] M. K. Aouf and A. O. Mostafa, Some Subordination results for classes of analytic functions defined by the Al-Aboudi operator, Arch. Math., 92(2009), 279-286.10.1007/s00013-009-2984-xSearch in Google Scholar

[14] M. K. Aouf, A. Shamandy, A. O. Mostafa and E. A. Adwan, Subordination results for certain class of analytic functions defined by convolution, Rend. del Circols Mat.di Palermo, no 60,(2011), 255-262.10.1007/s12215-011-0048-0Search in Google Scholar

[15] M. K. Aouf, A. Shamandy, A. O. Mostafa and E. A. Adwan, Subordination theorem of analytic functions defined by convolution, Complex Anal. Operator Theory, 7,(2013), 1117-1126.10.1007/s11785-011-0171-0Search in Google Scholar

[16] A. Aral, V. Gupta and R. P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, 2013.10.1007/978-1-4614-6946-9Search in Google Scholar

[17] A.A. Attiya, On some application of a subordination theorems, J. Math. Anal. Appl. 311 (2005), 489-494.10.1016/j.jmaa.2005.02.056Search in Google Scholar

[18] T. Bulboacã, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.Search in Google Scholar

[19] R.A. El-Ashwah, M. K. Aouf and A.A. Hassan, Subordination results for new subclasses of analytic univalent functions, Thai. J. Math., 15(1),(2017),113-140.Search in Google Scholar

[20] B.A, Frasin, Subordination results for a class of analytic functions defined by a linear operator, J. Inequal. Pure Appl. Math. 7: (2006), 1-7.Search in Google Scholar

[21] B. A. Frasin and G. Murugusundaramoorthy, A subordination results for a class of analytic functions defined by q-differential operator, Ann. Univ. Paedagog. Crac. Stud. Math. 19 (2020), 53-64.Search in Google Scholar

[22] G. Gasper and M. Rahman, Basic Hypergeometric series, Cambridge Univ.Press, New York,1990.Search in Google Scholar

[23] F. H. Jackson, On q-functions and a certain difference operator, Transactions of the Royal Society of Edinburgh, 46(1908), 253–281.10.1017/S0080456800002751Search in Google Scholar

[24] S. Kanas and D. Răducanu, Some subclass of analytic functions related to conic domains, Math. Slovaca 64(2014), no. 5, 1183–1196.Search in Google Scholar

[25] P. K. Kulshrestha, Bounded Robertson, Rend.Math., 6 (9) (1976), 137–150.Search in Google Scholar

[26] V. Kumar, S.L.Shukla and A.M. Chaudhary, On a class of certain analytic functions of complex order, Tamkang J.Math.,21(2),(1990), 1-9.10.5556/j.tkjm.21.1990.4643Search in Google Scholar

[27] J. E. Littlewood, On inequalities in theory of functions, Proc. London Math. Soc. 23(1925), 481–519.10.1112/plms/s2-23.1.481Search in Google Scholar

[28] S. S. Miller and P. T. Mocanu, Differential subordinations, Monographs and Textbooks in Pure and Applied Mathematics, 225, Dekker, New York, 2000.10.1201/9781482289817Search in Google Scholar

[29] M. A. Nasr and M. K. Aouf, On convex functions of complex order, Mansoura Bull. Sci., 8 (1982), 565-582.Search in Google Scholar

[30] M. A. Nasr and M. K. Aouf, Bounded starlike functions of complex order, Proc. Indian Acad.Sci.,Math.,92 (1983), 97-102.10.1007/BF02863012Search in Google Scholar

[31] M. A. Nasr and M. K. Aouf, Starlike function of complex order, J. Natur. Sci. Math., 25 (1985),1-12.Search in Google Scholar

[32] S.Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.10.1090/S0002-9939-1975-0367176-1Search in Google Scholar

[33] T. M. Seoudy and M. K. Aouf, Convolution properties for certain classes of analytic functions defined by q-derivative operator, Abstr. Appl. Anal., Vol. 2014, no. Article ID 846719, pp. 1-7, 2014, doi: 10.1155/2014/846719.10.1155/2014/846719Search in Google Scholar

[34] T. M. Seoudy and M. K. Aouf, Coefficient estimates of new class of q-starlike and q-convex functions of complex order. J. Math. Inequal., 10,(2016), 135-145.10.7153/jmi-10-11Search in Google Scholar

[35] H. Silverman. Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51(1975),109–116.10.1090/S0002-9939-1975-0369678-0Search in Google Scholar

[36] H. Silverman, A survey with open problems on univalent functions whose coefficients are negative. Rocky Mt. J.Math. 21(1991),1099–1125.Search in Google Scholar

[37] H. Silverman, Integral means for univalent functions with negative coefficients, Houston J. Math. 23(1997),169–174.Search in Google Scholar

[38] S. Singh, A subordination theorems for spirallike functions, IJMMS, 24(7) (2000), 433–435.10.1155/S0161171200004634Search in Google Scholar

[39] R. Singh and V.Singh, On a class of bounded starlike functions, Indian J. Pure Appl. Math.,5,(1974),733–740.Search in Google Scholar

[40] H.M. Srivastava and A.A. Attiya, Some subordination results associated with certain subclasses of analytic functions, J. Inequal. Pure Appl. Math., 5(4) (2004), Article 82, 1–6.Search in Google Scholar

[41] H.S. Wilf, Subordinating factor sequence for convex maps of the unit circle, Proc. Amer. Math. Soc. 12 (1961), 689–693.10.1090/S0002-9939-1961-0125214-5Search in Google Scholar

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