A class of univalent functions with varying arguments

f(z)=z+∑m=2∞amzm is said to be in V(θn) if the analytic and univalent function f in the unit disc E is nozmalised by f(0)=0, f′(0)=1 and arg an=θn for all n. If further there exists a real number β such that θn+(n−1)β≡π(mod2π) then f is said to be in V(θn,β). The union of V(θn,β) taken over all poss...

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Bibliographic Details
Main Authors: K. S. Padmanabhan, M. Jayamala
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129200067X
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