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Absolute starlike and absolute convex functions

✍ Scribed by J. D. Buckholtz; S. M. Shah

Book ID: 112976031
Publisher: Springer-Verlag
Year: 1980
Tongue: English
Weight: 803 KB
Volume: 38
Category: Article
ISSN: 0021-7670
DOI: 10.1007/bf03033879

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Let f z szqÝ a z be the sequence of partial sums of a function a z that is analytic in z -1 and either starlike of order ␣ or ks 2 k Ä 4 convex of order ␣, 0 F ␣ -1. When the coefficients a are ''small,'' we deterk Ä Ž . Ž 4 Ä Ž . Ž .4 Ä Ž . X Ž .4 mine lower bounds on Re f z rf z , Re f z rf z , R