A majorant problem

Let f(z)=∑k=0∞akzk, a0≠0 be analytic in the unit disc. Any infinite complex vector θ=(θ0,θ1,θ2,…) such that |θk|=1, k=0,1,2,…, induces a function fθ(z)=∑k=0∞akθkzk which is still analytic in the unit disc.

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Bibliographic Details
Main Author: Ronen Peretz
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/S0161171292000590
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