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Analytic solutions of functional equations
Authors: ---
ISBN: 1281934240 9786611934248 9812793356 9789812793355 9781281934246 9812793348 9789812793348 Year: 2008 Publisher: Singapore Hackensack, NJ World Scientific

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Abstract

Presents an introduction to the properties of analytic functions. This title provides examples of functional equations to show how analytic solutions can be found. It treats analytic functions as those generated by sequences with positive radii of convergence.


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Dual sets of envelopes and characteristic regions of quasi-polynomials
Authors: ---
ISBN: 1282443070 9786612443077 9814277282 Year: 2009 Publisher: Hackensack, NJ : World Scientific,

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Abstract

Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple - since only basic Calculus concepts are needed for understanding - and precise, since necessary and s

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