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Volumn 69, Issue 1, 1996, Pages 159-170

Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials

Author keywords

Classical orthogonal polynomials; Linearization coefficients; Recurrence relations

Indexed keywords

COMPUTATIONAL METHODS; LINEARIZATION; MATHEMATICAL TECHNIQUES; POLES AND ZEROS;

EID: 0030121392     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00033-X     Document Type: Article
Times cited : (22)

References (12)
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  • 3
    • 84963033928 scopus 로고
    • Quelques nouvelles relations pour les polynômes d'Hermite
    • E. Feldheim, Quelques nouvelles relations pour les polynômes d'Hermite, J. London Math. Soc. 13 (1938) 22-29.
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    • Feldheim, E.1
  • 4
    • 84968501847 scopus 로고
    • Products of Laguerre polynomials
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    • (1960) Math. Comp. , vol.14 , pp. 60-63
    • Gillis, J.1    Weiss, G.2
  • 5
    • 0003758513 scopus 로고
    • Linearization of products of Jacobi polynomials
    • E. Hylleraas, Linearization of products of Jacobi polynomials, Math. Scand. 10 (1962) 189-200.
    • (1962) Math. Scand. , vol.10 , pp. 189-200
    • Hylleraas, E.1
  • 6
    • 0002546231 scopus 로고
    • Results on the associated classical orthogonal polynomials
    • S. Lewanowicz, Results on the associated classical orthogonal polynomials, J. Comput. Appl. Math. 65 (1995) 215-231.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 215-231
    • Lewanowicz, S.1
  • 8
    • 0041391174 scopus 로고
    • Some 4th order differential equations related to classical orthogonal polynomials
    • A. Cachafeiro and E. Godoy, Eds., Univ. of Santiago de Compostela
    • A. Ronveaux, Some 4th order differential equations related to classical orthogonal polynomials, in: A. Cachafeiro and E. Godoy, Eds., Proc. Vigo Symp. on Orthogonal Polynomials, Univ. of Santiago de Compostela, 1989, pp. 159-169.
    • (1989) Proc. Vigo Symp. on Orthogonal Polynomials , pp. 159-169
    • Ronveaux, A.1
  • 9
    • 85030000265 scopus 로고    scopus 로고
    • Recurrence relations between linearization coefficients of orthogonal polynomials
    • to appear
    • A. Ronveaux, M.N. Hounkonnou and S. Belmehdi, Recurrence relations between linearization coefficients of orthogonal polynomials, J. Phys. A: Math. Gen., to appear.
    • J. Phys. A: Math. Gen.
    • Ronveaux, A.1    Hounkonnou, M.N.2    Belmehdi, S.3
  • 10
    • 0039577240 scopus 로고
    • A note on the polynomials of Hermite and Laguerre
    • G.N. Watson, A note on the polynomials of Hermite and Laguerre, J. London Math. Soc. 13 (1938) 29-32.
    • (1938) J. London Math. Soc. , vol.13 , pp. 29-32
    • Watson, G.N.1
  • 11
    • 0041073087 scopus 로고
    • The three-term recurrence relations and the differentiation formulas for hypergeometric-type functions
    • R.J. Yáñez, J.S. Dehesa and A.F. Nikiforov, The three-term recurrence relations and the differentiation formulas for hypergeometric-type functions, J. Math. Anal. Appl. 188 (3) (1994) 855-866.
    • (1994) J. Math. Anal. Appl. , vol.188 , Issue.3 , pp. 855-866
    • Yáñez, R.J.1    Dehesa, J.S.2    Nikiforov, A.F.3
  • 12
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    • Four-term recurrence relations of hypergeometric-type polynomials
    • R.J. Yáñez, J.S. Dehesa and A. Zarzo, Four-term recurrence relations of hypergeometric-type polynomials, Il Nuovo Cimento 109 B (1994) 725-733.
    • (1994) Il Nuovo Cimento , vol.109 B , pp. 725-733
    • Yáñez, R.J.1    Dehesa, J.S.2    Zarzo, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.