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Second-order Sturm-Liouville difference equations and orthogonal polynomials. (English) Zbl 0817.39004

The book is essentially “an investigation of boundary value problems involving the difference equation

p ( n ) Δ y ( n )+q(n)y(n)=λw(n)y(n),(n=a,,b)

inspired from the theory already established for second-order differential equations of Sturm-Liouville type” (from the author’s introduction). Beyond any personal taste (the book is well written and readable), a concrete measure of its interest will certainly be the extent of which such an investigation will be included in the program of an applied mathematics course for engineers.

Reviewer: V.C.Boffi (Roma)
MSC:
39A10Additive difference equations
42C05General theory of orthogonal functions and polynomials
34B24Sturm-Liouville theory
39A12Discrete version of topics in analysis