Science/Engineering Analytic Solutions Of Functional Equations (9812793348)

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Sui Sun Cheng, Wenrong Li “Analytic Solutions Of Functional Equations"

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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	Study Functional Analytic Methods for Evolution Equations (Lecture Notes in Mathematics) Giuseppe Da Prato, Peer Christian Kunstmann, Irena Lasiecka, Alessandra Lunardi, Roland Schnaubelt"Functional Analytic Methods for Evolution Equations (Lecture Notes in Mathematics)"Springer \| 2004-12-03 \| ISBN: 3540230300 \| 472 pages \| PDF ...
	Science/Engineering Volterra Stieltjes-integral equations: Functional analytic methods, linear constraints (North-Holland mathematics studies 16) Volterra Stieltjes-integral equations: Functional analytic methods, linear constraints (North-Holland mathematics studies 16): Chaim Samuel Honig American Elsevier Pub. Co \| ISBN: 0444108505 \| 1975 \| PDF (OCR) \| 158 pages \| 4.18 Mb img:Vol ...
	Science/Engineering Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations Wolfgang Tutschke, H. Florian, "Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations" World Scientific Publishing Company \| 2001 \| ISBN: 9810247648 \| 460 pages \| PDF \| 4,1 MB Func ...
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