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Finite orthogonal polynomials satisfying a second order differential equation

이동원|유병훈
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 765-774

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참고문헌

주제분류수학

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Abstract

The orthogonality of polynomials plays an important role in many areas and in many cases only finite orthogonalities are used. Concerning this fact we find Haracterizations of a finite orthogonal polynomial system satisfying a second order differential equation and then give several examples.

참고문헌 (10)

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  4. "A generalization of Laguerre polynomials", 24(3), pp.768~782 (1993)
  5. "The orthogonality of the Laguerre polynomials n } for positive integers k", 2, pp.289~303 (1995)
  6. "Classi.cation of classical orthogonal polynomials", 34, pp.973~1008 (1997)
  7. "Sobolev orthogonal polynomials and second-order di??erential equations", 28, pp.547~594 (1998)
  8. "Sur l'integral . x ∞ x¡1 e¡x dx", 7, pp.72~81 (1879)
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  10. "Recherches sur les fonctions Cylindriques et le developpment des fonctions continues en Series", 16, pp.1~80 (1880)

관련 논문AI추천

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