
Analytic Solutions Of Functional Equations
World Scientific Publishing Co Pte Ltd
Published on 18. March 2008
Book
Hardback
296 pages
978-981-279-334-8 (ISBN)
Description
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Engineers, mathematicians, physicists, advanced undergraduates and graduates in mathematics.
Product notice
sewn/stitched
Paper over boards
Dimensions
Height: 256 mm
Width: 174 mm
Thickness: 23 mm
Weight
648 gr
ISBN-13
978-981-279-334-8 (9789812793348)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Content
Prologue; Sequences; Power Series Functions; Functional Equations without Differentiation; Functional Equations with Differentiation; Functional Equations with Iteration.