International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2006 / Article

Open Access

Volume 2006 |Article ID 039840 | https://doi.org/10.1155/IJMMS/2006/39840

Neng Xu, Dinggong Yang, "Subclasses of α-spirallike functions associated with Ruscheweyh derivatives", International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 039840, 12 pages, 2006. https://doi.org/10.1155/IJMMS/2006/39840

Subclasses of α-spirallike functions associated with Ruscheweyh derivatives

Received09 May 2005
Revised25 Sep 2005
Accepted20 Oct 2005
Published08 Mar 2006

Abstract

Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ)(n{0,1,2,3,},π/2<α<π/2,and0λcos2α) of functions f(z)=z+k=2akzk which are analytic in |z|<1. Subordination and inclusion relations are obtained. The radius of α-spirallikeness of order ρ is calculated. A convolution property and a special member of T(n,α,λ) are also given.

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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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