On differential sandwich theorems of p-valent analytic functions defined by the integral operator
Tóm tắt
In this paper, we derive some subordination and superordination results for certain p-valent analytic functions in the open unit disc, which are acted upon by an integral operator. Relevant connection of the results, which are presented in this paper with various known results are also considered.
Tài liệu tham khảo
Ali R.M., Ravichandran V., Khan M.H., Subramanian K.G.: Differential sandwich theorems for certain analytic functions. Far East J. Math. Sci. 15, 87–94 (2004)
Aouf M.K., Al-Oboudi F.M., Haidan M.M.: On some results for λ-spirallike and λ-Robertson functions of complex order. Publ. Inst. Math. Belgrade 77(91), 93–98 (2005)
Bulboaca T.: Classes of first order differential superordinations. Demonstr. Math. 35(2), 287–292 (2002)
Bulboaca T.: A class of superordination-preserving integral operators. Indeg. Math. (N.S.) 13(3), 301–311 (2002)
Bulboaca T.: Differential Subordinations and Superordinations Recent Results. House of Scientific Book Publ., Cluj-Napoca (2005)
Miller, S.S.; Mocanu, P.T.: Differential Subordinations: Theory and Applications. Series on Monographs and Textbooks in Pure and Appl. Math. vol. 225. Marcel Dekker, New York (2000)
Miller S.S., Mocanu P.T.: Subordinants of differential superordinations. Complex Variables 48(10), 815–826 (2003)
Obradovic M., Aouf M.K., Owa S.: On some results for starlike functions of complex order. Publ. Inst. Math. (Beograd) (N.S.) 46(60), 79–85 (1989)
Obradovic M., Owa S.: On certain properties for some classes of starlike functions. J. Math. Anal. Appl. 145, 357–364 (1990)
Patel J.: Inclusion relations and convolution properties of certain subclasses of analytic functions defined by a generalized Salagean operator. Bull. Belg. Math. Soc. Simon Stevin 15, 33–47 (2008)
Royster W.C.: On the univalence of a certain integral. Michigan Math. J. 12, 385–387 (1965)
Salagean, G.S.: Subclasses of univalent functions. Lecture Notes in Math. vol. 1013, pp. 362–372. Springer, Berlin (1983)
Shams S., Kulkarni S.R., Jahangiri J.M.: Subordination properties for p-valent functions defined by integral operator. Int. J. Math. Math. Sci. 94572, 1–3 (2006)
Shanmugam T.N., Ravichandran V., Darus M., Sivasubramanian S.: Differential sandwich theorems for some subclasses of analytic functions involving a linear operator. Acta Math. Univ. Comenianae 74(2), 287–294 (2007)
Shanmugam T.N., Ravichandran V., Sivasubramanian S.: Differential sandwich theorems for some subclasses of analytic functions. J. Aust. Math. Anal. Appl. 3(1), 1–11 (2006)
Shanmugam T.N., Sivasubramanian S., Srivastava H.M.: Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations. Integral Transforms Spec. Funct. 17(12), 889–899 (2006)
Shanmugam T.N., Sivasubramanian S., Srivastava H.M.: On sandwich theorems for some classes of analytic functions. Int. J. Math. Math. Sci. 29684, 1–13 (2006)
Singh V.: On some criteria for univalence and starlikeness. Indian J. Pure Appl. Math. 34(4), 569–577 (2003)
Srivastava H.M., Lashin A.Y.: Some applications of the Briot–Bouquet differential subordination. J. Inequal. Pure. Appl. Math. 6(2), 1–7 (2005)
Wang Z., Gao C., Liao M.: On certain generalized class of non-Bazilevic functions. Acta Math. Acad. Proc. Nyircg. New Ser. 21(2), 147–154 (2005)