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On certain classes of analytic functions in the unit disk*


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Title: On certain classes of analytic functions in the unit disk*
Authors: Yoshikai, Tohiaki
Issue Date: 25-Jan-1974
Citation: 長崎大学教養部紀要. 自然科学. 1974, 14, p.5-10
Abstract: In this note we shall consider the problem of finding the radius of convexity in some univalent region for functions f(z)=z+a2z2+‥‥which are analytic and satisfy Re {f'(z)/(λf'(z)+(1-λ)φ'(z))}>β for / z / <1, 0≦β<1, 0≦λ<1 where φ(z)=z+b2z2+‥‥ is analytic, univalent and convex of order α, 0≦α<1. Finally a distortion theorem for f(z) is shown.
URI: http://hdl.handle.net/10069/16485
ISSN: 02871319
Type: Departmental Bulletin Paper
Text Version: publisher
Appears in Collections:Volume 14

Citable URI : http://hdl.handle.net/10069/16485

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