We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Q~} associated with the inner product /' {p,q) = p(x)q(x)p(x)dx+A,p(l)q(1)+B,p(-1)q(-1)+A2p'(1)q'(1)+B2p'(-l)q'(-l), I where p(x)= (I -x)~(1 + xf is the Jacobi weight function, e, ~> -1, A l, BI, A2, B2/>0 and p, q E P, th
β¦ LIBER β¦
Differential equations of infinite order for Sobolev-type orthogonal polynomials
β Scribed by I.H. Jung; K.H. Kwon; G.J. Yoon
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 758 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
Assume that {P~(x)}~0 are orthogonal polynomials relative to a quasi-definite moment functional a, which satisfy a differential equation of spectral type of order D (2 ~\_-0, and k = 0.
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