Dual Sets Of Envelopes And Characteristic Regions Of Quasi-polynomials
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A01=Sui Sun Cheng
A01=Yi-zhong Lin
Author_Sui Sun Cheng
Author_Yi-zhong Lin
Category=PBKJ
Characteristic Function
Characteristic Region
Dual Point
Dual Set
Envelope
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Function with Parameters
Polynomial
Quasi-Polynomial
Root
Product details
- ISBN 9789814277273
- Publication Date: 01 Jun 2009
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 sufficient conditions can be obtained for functions such as polynomials containing more than four parameters.Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations.
