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ある解析関数の単葉且星型半径について


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Title: ある解析関数の単葉且星型半径について
Other Titles: On the radius of univalence and starlikeness of certain analytic functions
Authors: 吉開, 利秋
Authors (alternative): Yoshikai, Toshiaki
Issue Date: 25-Dec-1968
Citation: 長崎大学教養部紀要. 自然科学. 1968, 9, p.1-5
Abstract: Suppose that f(z)=z+a2z2+……is analytic and satisfies Re{f(z)/z}>1/2 for / z / <1,then f(z)is univalent and starlike for / z / < 〔1, Theorem 2.〕, and also that f(z)=z+a2z2+ ……is analytic and satisfies / f(z)/z-1 <1 for / z / <1, then f(z) is univalent and starlike for / z / 1/2〔2,Theorem 1.〕. Now in this paper received suggestions from T. H. MacGregor's recent paper, we generalize the above theorem for analytic functions with which power series begins f(z)=z +an+1zn+1+…….
URI: http://hdl.handle.net/10069/16454
ISSN: 02871319
Type: Departmental Bulletin Paper
Text Version: publisher
Appears in Collections:Volume 9

Citable URI : http://hdl.handle.net/10069/16454

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