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Analytic Solutions Of Functional Equations

Af: Wenrong Li, Sui Sun Cheng Engelsk Hardback

Analytic Solutions Of Functional Equations

Af: Wenrong Li, Sui Sun Cheng Engelsk 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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 296
ISBN-13: 9789812793348
Indbinding: Hardback
Udgave:
ISBN-10: 9812793348
Udg. Dato: 18 mar 2008
Længde: 24mm
Bredde: 177mm
Højde: 258mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 18 mar 2008
Forfatter(e): Wenrong Li, Sui Sun Cheng
Forfatter(e) Wenrong Li, Sui Sun Cheng


Kategori Differentialregning & ligninger


ISBN-13 9789812793348


Sprog Engelsk


Indbinding Hardback


Sider 296


Udgave


Længde 24mm


Bredde 177mm


Højde 258mm


Udg. Dato 18 mar 2008


Oplagsdato 18 mar 2008


Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge