Starlikeness of generalized srivastava-owa fractional operators
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نویسنده
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ibrahim r.w.
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منبع
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proceedings of the pakistan academy of sciences - 2013 - دوره : 50 - شماره : 1 - صفحه:85 -88
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چکیده
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In the geometric function theory much attention is paid to various fractional operators (differential and integrals) mapping the class of univalent functions and its subclasses into themselves. the classical definitions of fractional operators and their generalizations have fruitfully been applied in obtaining,for example,the characterization properties,coefficient estimates,distortion inequalities and convolution structures for various subclasses of analytic functions and the works in the research monographs. here,we introduce a generalization for the well known fractional operators in the unit disk i.e. u:={z: {pipe}z{pipe}<1 } due to h. m. srivastava and s. owa. some analytic and geometric properties are obtained. © pakistan academy of sciences.
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کلیدواژه
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Analytic function; Fractional calculus; Fractional differential operator; Fractional integral operator; Srivastava- owa fractional operators; Starlike function; Unit disk; Univalent
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آدرس
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university of malaya, Malaysia
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