The Noor Integral and Strongly Starlike Functions

Let A denote the class of analytic functions f(z) defined in the unit disc satisfying the condition f(0)=f′(0)−1=0. We introduce some new subclasses of strongly starlike functions defined by the Noor integral and study their properties.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 261; no. 2; pp. 441 - 447
Main Author Liu, Jinlin
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.09.2001
Elsevier
Subjects
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Measure and integration
Noor integral
Real functions
Sciences and techniques of general use
strongly convex function
strongly starlike function
strongly convex function
Noor integral
strongly starlike function
Integral
Convex function
Starlike integral
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Summary:Let A denote the class of analytic functions f(z) defined in the unit disc satisfying the condition f(0)=f′(0)−1=0. We introduce some new subclasses of strongly starlike functions defined by the Noor integral and study their properties.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2001.7489