Subordinations for analytic functions defined by the Dziok–Srivastava linear operator

In the present investigation, we obtain certain sufficient conditions for a normalized analytic function f( z) defined by the Dziok–Srivastava linear operator H m l [ α 1 ] to satisfy the certain subordination. Our results extend corresponding previously known results on starlikeness, convexity, and...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 187; no. 1; pp. 13 - 19
Main Authors Aghalary, R., Joshi, S.B., Mohapatra, R.N., Ravichandran, V.
Format Journal Article Conference Proceeding
LanguageEnglish
Published New York, NY Elsevier Inc 01.04.2007
Elsevier
Subjects
Convex functions
Convolution
Differential subordination
Dziok–Srivastava linear operator
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Sciences and techniques of general use
Starlike functions
Univalent functions
Starlike functions
Convex functions
Convolution
Differential subordination
Univalent functions
Dziok–Srivastava linear operator
Starlike function
Linear operator
Numerical analysis
Sufficient condition
Applied mathematics
Dziok-Srivastava linear operator
Convex function
Convexity
Analytical function
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Summary:In the present investigation, we obtain certain sufficient conditions for a normalized analytic function f( z) defined by the Dziok–Srivastava linear operator H m l [ α 1 ] to satisfy the certain subordination. Our results extend corresponding previously known results on starlikeness, convexity, and close to convexity.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.08.097