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Radius of convexity of partial sums of a certain power series

Published online by Cambridge University Press:  09 April 2009

Ram Singh
Ram Singh
Affiliation:
Department of MathematicsPunjabi UniversityPatiala, India
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Let , be regular in the unit disc . G. Szegö [5] and Y. Miki [3] proved that if f(z), given by (1), is univalent (starlike with respect to the origin; convex; close-to-convex in E) then any one of the partial sums , is also univalent (starlike with respect to the origin; convex; close-to-convex) in |z| < ¼and that the constant ¼ cannot be replaced by a larger one.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 4 , November 1970 , pp. 407 - 410
Copyright
Copyright © Australian Mathematical Society 1970

References

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