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Some Results on Spiral-Like Functions

Published online by Cambridge University Press:  20 November 2018

Türkân Bagşöze
Türkân Bagşöze*
Affiliation:
University of Kentucky, Lexington, Kentucky 40506
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We begin with the following definitions.

Let f(z) be regular near z=0 and let f(0)=0, f'(0)≠0. Let α and λ be two real numbers such that |α|<π/2 and 0≤λ1. Then Rα,λ is the largest value of r such that the following conditions are satisfied for |z|<r

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 633 - 637
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Barr, A. F., The radius of univalence of certain classes of analytic functions Ph.D. Dissertation. The University of Mississippi, (1971).Google Scholar
2. Başgöze, T., On the univalence of certain classes of analytic functions, J. London Math. Soc. (2), 1 (1969), p. 140–144.Google Scholar
3. Alexander, J. W., Functions which map the interior of the unit circle upon simple regions, Ann. of Math. 17 (1915), p. 12–22.Google Scholar