Authors
Saminathan Ponnusamy, A Vasudevarao, Hiroshi Yanagihara
Publication date
2008
Journal
Houston journal of mathematics
Volume
34
Issue
4
Pages
1037-1048
Publisher
University of Houston
Description
For a complex number a with Re (a)> 0 let Sa (?) be the class of analytic functions f in the unit dist D with f (0)= 0= f'(0)-1, f''(0)= 2? e-iacos (a) satisfying Re eia (1+ zf''(z)/f'(z))> 0 for z in D. For a in D fixed, we determine the region of variability for log (f'(a)) when f ranges over the class Sa (?). As a consequence, we obtain an estimate for a pre-Schwarzian norm for Sa (0).
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Scholar articles
S Ponnusamy, A Vasudevarao, H Yanagihara - Houston journal of mathematics, 2008