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On new classes of analytic functions with negative coefficients

Shigeyoshi Owa

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-12

Abstract:

We introduce the classes K n * of analytic functions with negative coefficients by using the n th order Ruscheweyh derivative. The object of the present paper is to show coefficient inequalities and some closure theorems for functions f ( z ) in K n * . Further we consider the modified Hadamard product of functions f i ( z ) in K n i * ( n = 1 , 2 , … , m ) .

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:916076

DOI: 10.1155/S0161171284000752

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