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- W262382404 abstract "W henis a quasi-definite moment functional on , the vector space of all real polynomials, we consider a symmetric bilinear form.;/on defined by .p;q/Dp.a/q.a/Cp.b/q.b/Ch; p 0 q 0 i; where;; a; and b are real numbers. We first find a necessary and sufficient condition for .;/ to be quasi-definite. When is a semi-classical moment functional, we discuss algebraic properties of the orthogonal polynomials rel- ative to .;/ and show that such orthogonal polynomials satisfy a fifth order differential equation with polynomial coefficients." @default.
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- W262382404 date "1997-01-01" @default.
- W262382404 modified "2023-09-27" @default.
- W262382404 title "A non-standard class of sobolev orthogonal polynomials" @default.
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