Analytic Solutions of Functional Equations~tqw~_darksiderg

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Analytic Solutions of Functional Equations~tqw~_darksiderg

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INFO
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Title................: Analytic Solutions of Functional Equations
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 1.4 MB
Torrent Hash.........: C4AFD12A 6C15AE68 64CB60AA 6A512D24 AB3AAE98
Posted by............: ~tqw~

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CONTENTS
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Analytic Solutions of Functional Equations~tqw~_darksiderg preview 0
Synopsis:
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.

Table Of Contents:
1 Prologue 1
2 Sequences 11
3 Power series functions 49
4 Functional equations without differentiation 83
5 Functional equations with differentiation 123
6 Functional equations with iteration 175
App A Univariate sequences and properties 259
Bibliography 271
Index 283

Product Details:
* ISBN: 9812793348
* ISBN-13: 9789812793348
* Format: Hardcover, 280pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: April 2008

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