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Titlebook: Distortion Theorems in Relation to Linear Integral Operators; Yûsaku Komatu Book 1996 Springer Science+Business Media Dordrecht 1996 Compl

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发表于 2025-3-21 16:33:26 | 显示全部楼层 |阅读模式
书目名称Distortion Theorems in Relation to Linear Integral Operators
编辑Yûsaku Komatu
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Distortion Theorems in Relation to Linear Integral Operators;  Yûsaku Komatu Book 1996 Springer Science+Business Media Dordrecht 1996 Compl
描述The present monograph consists of two parts. Before Part I, a chapter of introduction is supplemented, where an overview of the whole volume is given for reader‘s convenience. The former part is devoted mainly to expose linear inte­ gral operators introduced by the author. Several properties of the operators are established, and specializations as well as generalizations are attempted variously in order to make use them in the latter part. As compared with the former part, the latter part is de­ voted mainly to develop several kinds of distortions under actions of integral operators for various familiar function­ also absolute modulus. real part. range. length and area. an­ gular derivative, etc. Besides them, distortions on the class of univalent functions and its subclasses, Caratheodory class as well as distortions by a differential operator are dealt with. Related differential operators play also active roles. Many illustrative examples will be inserted in order to help understanding of the general statements. The basic materials in this monograph are taken from a series of researches performed by the author himself chiefly in the past two decades. While the themes of the paper
出版日期Book 1996
关键词Complex analysis; differential operator; integral transform; operational calculus
版次1
doihttps://doi.org/10.1007/978-94-011-5424-6
isbn_softcover978-94-010-6281-7
isbn_ebook978-94-011-5424-6
copyrightSpringer Science+Business Media Dordrecht 1996
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发表于 2025-3-21 23:05:28 | 显示全部楼层
Distortions on univalent functionsddiivity, namely, character of semiring structure, several kinds of relations to fractional calculus and integration operator, the properties of their products as well as their analytic prolongeability.
发表于 2025-3-22 04:26:42 | 显示全部楼层
Patricia K. Kerig,Stephen P. BeckerNow, we shall try to iterate the integral operator originally given by.in the unit disk ., where σ is a probability measure on the unit interval .. into the sequence. such that the iterated sequence satisfies the aditivity condition.for any non-negative integers . and ..
发表于 2025-3-22 08:29:49 | 显示全部楼层
Stephen G. Tibbetts,Jose RiveraOur integral operators under considerations are closely connected with the fractional calculus, which will be investigated in the present section; cf. Komatu [14].
发表于 2025-3-22 09:43:50 | 显示全部楼层
The Development of Defense MechanismsAs we know, the family of operators . defined by . which depends on a continuous parameter . ≧ 0 possesses the semiring structure:
发表于 2025-3-22 15:11:55 | 显示全部楼层
Experimental Studies of DefenseThroughout the present chapter, we shall discuss several distortion relations concerning the real part of analytic functions . belonging to the class ., namely, the functions . holomorphic in . and usually normalized by . at the origin; cf. Komatu [5, 6, 13 etc.].
发表于 2025-3-22 17:13:20 | 显示全部楼层
https://doi.org/10.1057/9781137441980Among miscellaneous functionals, we shall deal in the present section with the distortions on oscillation of the real part of analytic functions holomorphic in the unit disk . along a circumference about the origin; cf. Komatu [13].
发表于 2025-3-22 23:21:53 | 显示全部楼层
Basic Integral OperatorsNow, we shall try to iterate the integral operator originally given by.in the unit disk ., where σ is a probability measure on the unit interval .. into the sequence. such that the iterated sequence satisfies the aditivity condition.for any non-negative integers . and ..
发表于 2025-3-23 01:33:49 | 显示全部楼层
Properties of Integral OperatorsOur integral operators under considerations are closely connected with the fractional calculus, which will be investigated in the present section; cf. Komatu [14].
发表于 2025-3-23 06:56:34 | 显示全部楼层
ApplicationsAs we know, the family of operators . defined by . which depends on a continuous parameter . ≧ 0 possesses the semiring structure:
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