New classification of analytic functions with negative coefficients

Shigeyoshi Owa and Milutin Obradovic

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-15

Abstract:

New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A ( p , n , B k ) of analytic functions with negative coefficient is defined. The object of the present paper is to prove various distortion theorems for functions in A ( p , n , B k ) , and for fractional calculus of functions belonging to A ( p , n , B k ) . Further, some properties of the class A ( p , n , B k ) are shown.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:189098

DOI: 10.1155/S0161171288000109

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