ANALYTIC SOLUTIONS OF FUNCTIONAL EQUATIONS - Hardcover

CHENG SUI SUN ET AL

Hardcover

ISBN 10: 9812793348 ISBN 13: 9789812793348

Publisher: World Scientific Publishing, 2008

Synopsis

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.

Edition details

• Publisher: World Scientific Publishing
• Publication date: 2008
• Language: English
• ISBN 10: 9812793348
• ISBN 13: 9789812793348
• Binding: Hardcover
• Number of pages: 296