Analytic Solutions Of Functional Equations

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A01=Sui Sun Cheng
A01=Wenrong Li
Analytic Function
Analytic Solution
Author_Sui Sun Cheng
Author_Wenrong Li
Category=PBK
Difference Equation
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Functional Differential Equation
Functional Equation
Iterative Functional Differential Equation
Majorant
Power Series Function
Recurrence Relation
Sequence

Product details

  • ISBN 9789812793348
  • Publication Date: 18 Mar 2008
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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.

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