Some subordination results associated with generalized Srivastava-Attiya operator

The operator J s , b ( f ) was introduced in (Srivastava and Attiya in Integral Transforms Spec. Funct. 18(3-4): 207-216, 2007), which makes a connection between Geometric Function Theory and Analytic Number Theory . In this paper, we use the techniques of differential subordination to investigate s...

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Bibliographic Details
Published in:Advances in difference equations 2013-04, Vol.2013 (1), p.105-105, Article 105
Main Authors: Attiya, Adel A, Hakami, Ali H
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:The operator J s , b ( f ) was introduced in (Srivastava and Attiya in Integral Transforms Spec. Funct. 18(3-4): 207-216, 2007), which makes a connection between Geometric Function Theory and Analytic Number Theory . In this paper, we use the techniques of differential subordination to investigate some classes of admissible functions associated with the generalized Srivastava-Attiya operator in the open unit disc U = { z ∈ C : | z | < 1 } . MSC: 30C80, 30C10, 11M35.
ISSN:1687-1847
1687-1847
DOI:10.1186/1687-1847-2013-105