Abstract
In this paper, we obtain some subordination and superordination-preserving results of the Liu-Owa integral operator. Sandwich-type result is also obtained.
Similar content being viewed by others
References
Aouf M.K.: Inequalities involving certain integral operator. J. Math. Inequal. 2(2), 537–547 (2008)
Choi J.H., Saigo M., Srivastava H.M.: Some inclusion properties of a certain family of integral operators. J. Math. Anal. Appl. 276, 432–445 (2002)
Gao C.-Y., Yuan S.-M., Srivastava H.M.: Some functional inequalities and inclusion relationships associated with certain families of integral operator. Comput. Math. Appl. 49, 1787–1795 (2005)
Jung T.B., Kim Y.C., Srivastava H.M.: The Hardy space of analytic functions associated with certain one-parameter families of integral operators. J. Math. Anal. Appl. 176, 138–147 (1993)
Liu J.-L., Owa S.: Properties of certain integral operators. Int. J. Math. Math. Sci. 3(1), 69–75 (2004)
Miller S.S., Mocanu P.T.: Differential subordinations and univalent functions. Michigan Math. J. 28(2), 157–172 (1981)
Miller S.S., Mocanu P.T.: Univalent solutions of Briot–Bouquet differential equations. J. Differ. Equ. 56(3), 297–309 (1985)
Miller, S.S., Mocanu, P.T.: Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, vol. 225, Marcel Dekker, New York and Basel (2000)
Miller S., Mocanu P.T.: Subordinants of differential superordinations. Complex Var. Theory Appl. 48(10), 815–826 (2003)
Pommerenke, C.: Univalent Functions, Vandenhoeck and Ruprecht, Göttingen (1975)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Daniel Aron Alpay.
Rights and permissions
About this article
Cite this article
Aouf, M.K., Seoudy, T.M. Some Preserving Subordination and Superordination of the Liu-Owa Integral Operator. Complex Anal. Oper. Theory 7, 275–283 (2013). https://doi.org/10.1007/s11785-011-0141-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11785-011-0141-6