Functional Analysis II by WILDE

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Functional Equations

Functional Equations
Acer Press | ISBN: 0864314922 | 2005-12 | PDF | 128 pages | 1.3 Mb

Functional equations provides mathematics teachers with an introduction to elementary aspects of functional equations. These equations are linked to functionin various topics of the senior secondary mathematics curriculum including transformations, identities difference equations and mathematical modelling.

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Analytic Solutions Of Functional Equations

Sui Sun Cheng, Wenrong Li “Analytic Solutions Of Functional Equations"
World Scientific Publishing Company | 2008-03-14 | ISBN: 9812793348 | 296 pages | PDF | 1,4 MB

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.
Contents: Prologue; Sequences; Power Series Functions; Functional Equations without Differentiation; Functional Equations with Differentiation; Functional Equations with Iteration.

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