Subclasses of α -spirallike functions associated with Ruscheweyh derivatives

Neng Xu and Dinggong Yang

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-12

Abstract:

Making use of the Ruscheweyh derivatives, we introduce the subclasses T ( n , α , λ ) ( n ∈ { 0 , 1 , 2 , 3 , … } , − Ï€ / 2 < α < Ï€ / 2 , and 0 ≤ λ ≤ cos 2 α ) of functions f ( z ) = z + ∑ k = 2 ∞ a k z k which are analytic in | z | < 1 . Subordination and inclusion relations are obtained. The radius of α -spirallikeness of order Ï is calculated. A convolution property and a special member of T ( n , α , λ ) are also given.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:039840

DOI: 10.1155/IJMMS/2006/39840

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