Item description for Analytic Solutions Of Functional Equations by Sui Sun Cheng & Wenrong Li...
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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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.75" Width: 6.5" Height: 10.25" Weight: 1.44 lbs.
Release Date Mar 14, 2008
Publisher World Scientific Publishing Company
ISBN 9812793348 ISBN13 9789812793348
Availability 0 units.
More About Sui Sun Cheng & Wenrong Li
Sui Sun Cheng has an academic affiliation as follows - Tsing Hua University, Taiwan, Republic of China.