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

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發(fā)表于 2025-3-21 16:33:26 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Distortion Theorems in Relation to Linear Integral Operators
編輯Y?saku Komatu
視頻videohttp://file.papertrans.cn/282/281700/281700.mp4
叢書(shū)名稱Mathematics and Its Applications
圖書(shū)封面Titlebook: Distortion Theorems in Relation to Linear Integral Operators;  Y?saku 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
關(guān)鍵詞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
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:05:28 | 只看該作者
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.
板凳
發(fā)表于 2025-3-22 04:26:42 | 只看該作者
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 ..
地板
發(fā)表于 2025-3-22 08:29:49 | 只看該作者
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].
5#
發(fā)表于 2025-3-22 09:43:50 | 只看該作者
The Development of Defense MechanismsAs we know, the family of operators . defined by . which depends on a continuous parameter . ≧ 0 possesses the semiring structure:
6#
發(fā)表于 2025-3-22 15:11:55 | 只看該作者
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.].
7#
發(fā)表于 2025-3-22 17:13:20 | 只看該作者
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].
8#
發(fā)表于 2025-3-22 23:21:53 | 只看該作者
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 ..
9#
發(fā)表于 2025-3-23 01:33:49 | 只看該作者
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].
10#
發(fā)表于 2025-3-23 06:56:34 | 只看該作者
ApplicationsAs we know, the family of operators . defined by . which depends on a continuous parameter . ≧ 0 possesses the semiring structure:
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