Double Integral Operators Concerning Starlike of Order [beta]

Double integral operators which were considered by S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008), 591-597) are discussed. In order to show the analytic function f(z) is starlike of order β in the open unit disk ... , the theory of differential subordinations for analytic f...

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Veröffentlicht in:International journal of differential equations 2009-01, Vol.2009
Hauptverfasser: Kuroki, Kazuo, Owa, Shigeyoshi
Format: Artikel
Sprache:eng
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Zusammenfassung:Double integral operators which were considered by S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008), 591-597) are discussed. In order to show the analytic function f(z) is starlike of order β in the open unit disk ... , the theory of differential subordinations for analytic functions is applied. The object of the present paper is to discuss some interesting conditions for f(z) to be starlike of order β in ... concerned with second-order differential inequalities and double integral operators.
ISSN:1687-9643
1687-9651