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Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator
Joint Authors
Li, Shu-Hai
Ma, Li-Na
Tang, Huo
Srivástava, Hari Mohan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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<1 and suppose that ψ:C4×U→C.
In this paper, we investigate the problem of determining properties of functions p(z) that satisfy the following third-order differential superordination: Ω⊂ψpz,zp′z,z2p′′z,z3p′′′z;z:z∈U.
As applications, we derive some third-order differential subordination and superordination results for meromorphically multivalent functions, which are defined by a family of convolution operators involving the Liu-Srivastava operator.
The results are obtained by considering suitable classes of admissible functions.
American Psychological Association (APA)
Tang, Huo& Srivástava, Hari Mohan& Li, Shu-Hai& Ma, Li-Na. 2014. Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1034002
Modern Language Association (MLA)
Tang, Huo…[et al.]. Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1034002
American Medical Association (AMA)
Tang, Huo& Srivástava, Hari Mohan& Li, Shu-Hai& Ma, Li-Na. Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1034002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034002