Third‐Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu‐Srivastava Operator

Huo Tang, H. M. Srivastava, Shu-Hai Li and Li-Na Ma

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: There are many articles in the literature dealing with the first‐order and the second‐order differential subordination and superordination problems for analytic functions in the unit disk, but only a few articles are dealing with the above problems in the third‐order case (see, e.g., Antonino and Miller (2011) and Ponnusamy et al. (1992)). The concept of the third‐order differential subordination in the unit disk was introduced by Antonino and Miller in (2011). Let Ω be a set in the complex plane C. Also let p be analytic in the unit disk U=z:z∈C and z

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:792175

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