Subordination criteria for starlikeness and convexity

For functions p analytic in the open unit disc U={z:|z|<1} with the normalization p(0)=1, we consider the families 𝒫[A,−1], −1<A≤1, consisting of p such that p(z) is subordinate to (1+Az)/(1−z) in U and 𝒫(1,b), b>0, consisting of p, which have the disc formulation |p−1|<b in U. We then i...

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Bibliographic Details
Main Authors: Rasoul Aghalary, Jay M. Jahangiri
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203207146
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