Publication: Zeros of Jacobi-Sobolev orthogonal polynomials
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Publication date
2003
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Tutors
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Hikari Ltd
Abstract
We investigate zeros of Jacobi-Sobolev orthogonal polynomials with respect to $$\multline \langle f, g\rangle = \int_{-1}^1 f(x)g(x)(1-x)^{ \alpha }(1+x)^{\beta} dx\\ +\gamma \int_{-1}^1 f'(x)g'(x)(1-x)^{ \alpha +1}(1+x)^{ \beta } dx,\endmultline $$ where $\alpha >-1,\ -1 < \beta \le 0,\ \gamma >0$.
Description
10 pages, no figures.-- MSC2000 codes: 33C45.
MR#: MR2027148 (2004m:33017)
Zbl#: Zbl pre05376428
MR#: MR2027148 (2004m:33017)
Zbl#: Zbl pre05376428
Keywords
Jacobi-Sobolev orthogonal polynomials, Zeros
Bibliographic citation
International Mathematical Journal, 2003, vol. 4, n. 5, p. 413-422