On a class of p-valent starlike functions of order α

Let Ω denote the class of functions w(z), w(0)=0, |w(z)|<1 analytic in the unit disc ⋃={z:|z|<1}. For arbitrary fixed numbers A, B, −1<A≤1, −1≤B<1 and 0≤α<p, denote by P(A,B,p,α) the class of functions p(z)=p+∑n=1∞bnzn analytic in ⋃ such that P(z) ϵ P(A,B,p,α) if and only if P(z)=p+[...

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Bibliographic Details
Main Author: M. K. Aouf
Format: Article
Language:English
Published: Hindawi Limited 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171287000838