Analytic Solutions Of Functional Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Cheng, Sui Sun/ Li, Wenrong 作者

译者

2008-3 出版日期

296 页数

$ 113.00 价格

丛书系列

9789812793348 图书编码

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发表于2025-01-11

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Analytic Solutions Of Functional Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.

Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Contents: Prologue; Sequences; Power Series Functions; Functional Equations without Differentiation; Functional Equations with Differentiation; Functional Equations with Iteration.

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