메뉴 건너뛰기




Volumn 76, Issue 1-2, 1996, Pages 213-229

Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

Author keywords

Associated polynomials; Classical orthogonal polynomials of a discrete variable; Connection coefficients; Recurrence relations

Indexed keywords

MATHEMATICAL MODELS; SET THEORY;

EID: 0030402449     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00104-5     Document Type: Article
Times cited : (26)

References (13)
  • 1
    • 0003262411 scopus 로고
    • Orthogonal polynomials and special functions
    • SIAM, Philadelphia, PA
    • R. Askey, Orthogonal Polynomials and Special Functions, Regional Conf. Ser. Appl. Math. 21 (SIAM, Philadelphia, PA, 1975).
    • (1975) Regional Conf. Ser. Appl. Math. , vol.21
    • Askey, R.1
  • 2
    • 0039067764 scopus 로고    scopus 로고
    • Difference equation for the associated polynomials on the linear lattice
    • N.M. Atakishiyev, A. Ronveaux and K.B. Wolf, Difference equation for the associated polynomials on the linear lattice, Zh. Teoret. Mat. Fiz. 106 (1996) 76-83.
    • (1996) Zh. Teoret. Mat. Fiz. , vol.106 , pp. 76-83
    • Atakishiyev, N.M.1    Ronveaux, A.2    Wolf, K.B.3
  • 5
    • 0015959639 scopus 로고
    • Projection formulas for orthogonal polynomials of a discrete variable
    • G. Gasper, Projection formulas for orthogonal polynomials of a discrete variable, J. Math. Anal. Appl. 45 (1974) 176-198.
    • (1974) J. Math. Anal. Appl. , vol.45 , pp. 176-198
    • Gasper, G.1
  • 6
    • 0003884388 scopus 로고
    • The Askey scheme of hypergeometric orthogonal polynomials and its q-analogue
    • Delft Univ. of Technology, Delft
    • R. Koekoek and R.F. Swarttouw, The Askey scheme of hypergeometric orthogonal polynomials and its q-analogue, Report 94-05, Fac. Techn. Math. Informatics, Delft Univ. of Technology, Delft, 1994.
    • (1994) Report 94-05, Fac. Techn. Math. Informatics
    • Koekoek, R.1    Swarttouw, R.F.2
  • 7
    • 84966258689 scopus 로고
    • Recurrence relations for hypergeometric functions of unit argument
    • Errata ibid. 48 (1987) 853.
    • S. Lewanowicz, Recurrence relations for hypergeometric functions of unit argument, Math. Comput. 45 (1985) 521-535. Errata ibid. 48 (1987) 853.
    • (1985) Math. Comput. , vol.45 , pp. 521-535
    • Lewanowicz, S.1
  • 8
    • 0002546231 scopus 로고
    • Results on the associated classical orthogonal polynomials
    • in Honour of T.J. Stieltjes Jr., Delft, Netherlands, 31 October-4 November
    • S. Lewanowicz, Results on the associated classical orthogonal polynomials, in: Orthogonality, Moment Problems and Continued Fractions. Proc. Internat. Conf. in Honour of T.J. Stieltjes Jr., Delft, Netherlands, 31 October-4 November 1994; J. Comput. Appl. Math. 65 (1995) 215-231.
    • (1994) Orthogonality, Moment Problems and Continued Fractions. Proc. Internat. Conf.
    • Lewanowicz, S.1
  • 9
    • 0002546231 scopus 로고
    • S. Lewanowicz, Results on the associated classical orthogonal polynomials, in: Orthogonality, Moment Problems and Continued Fractions. Proc. Internat. Conf. in Honour of T.J. Stieltjes Jr., Delft, Netherlands, 31 October-4 November 1994; J. Comput. Appl. Math. 65 (1995) 215-231.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 215-231
  • 10
    • 0030121392 scopus 로고    scopus 로고
    • Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials
    • S. Lewanowicz, Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials, J. Comput. Appl. Math. 69 (1996) 159-170.
    • (1996) J. Comput. Appl. Math. , vol.69 , pp. 159-170
    • Lewanowicz, S.1
  • 13
    • 0002857683 scopus 로고
    • Recurrence relations for connection coefficients between two families of orthogonal polynomials
    • A. Ronveaux, A. Zarzo and E. Godoy, Recurrence relations for connection coefficients between two families of orthogonal polynomials, J. Comput. Appl. Math. 62 (1995) 67-73.
    • (1995) J. Comput. Appl. Math. , vol.62 , pp. 67-73
    • Ronveaux, A.1    Zarzo, A.2    Godoy, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.