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Volumn 89, Issue 2, 1998, Pages 309-325

Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING;

EID: 0032024580     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00002-8     Document Type: Erratum
Times cited : (35)

References (16)
  • 1
    • 0004165067 scopus 로고
    • An Introduction to Orthogonal Polynomials
    • T.S. Chihara An Introduction to Orthogonal Polynomials 1978 Gordon and Breach New York
    • (1978)
    • Chihara, T.S.1
  • 2
    • 0001221148 scopus 로고
    • A distributional study of discrete classical orthogonal polynomials
    • A.G. García F. Marcellán L. Salto A distributional study of discrete classical orthogonal polynomials J. Comput. Appl. Math. 57 1995 147 162
    • (1995) J. Comput. Appl. Math. , vol.57 , pp. 147-162
    • García, A.G.1    Marcellán, F.2    Salto, L.3
  • 3
    • 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
  • 4
    • 0031247736 scopus 로고    scopus 로고
    • Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
    • E. Godoy I. Area A. Ronveaux A. Zarzo Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case J. Comput. Appl. Math. 84 2 1997 257 275
    • (1997) J. Comput. Appl. Math. , vol.84 , Issue.2 , pp. 257-275
    • Godoy, E.1    Area, I.2    Ronveaux, A.3    Zarzo, A.4
  • 5
    • 0001683858 scopus 로고
    • Semi-classical orthogonal polynomials
    • E. Hendriksen H. van Rossum Semi-classical orthogonal polynomials Lecture Notes in Mathematics vol. 1171 1984 Springer Berlin 354 361
    • (1984) , pp. 354-361
    • Hendriksen, E.1    van Rossum, H.2
  • 6
    • 0003884388 scopus 로고
    • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
    • R. Koekoek R.F. Swarttouw The Askey-scheme of hypergeometric orthogonal polynomials and its q -analogue Fac. Techn. Math. Informatics 1994 Delft University of Technology Report 94-05, Delft
    • (1994)
    • Koekoek, R.1    Swarttouw, R.F.2
  • 7
    • 0030402449 scopus 로고    scopus 로고
    • Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable
    • S. Lewanowicz Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable J. Comput. Appl. Math. 76 1996 213 229
    • (1996) J. Comput. Appl. Math. , vol.76 , pp. 213-229
    • Lewanowicz, S.1
  • 8
    • 0000466857 scopus 로고
    • Prolégomène à l'étude des polynomes orthogonaux semi-classiques
    • P. Maroni Prolégomène à l'étude des polynomes orthogonaux semi-classiques Ann. Math. Pura Appl. 149 1987 165 184
    • (1987) Ann. Math. Pura Appl. , vol.149 , pp. 165-184
    • Maroni, P.1
  • 9
    • 0003674259 scopus 로고
    • Classical Orthogonal Polynomials of a Discrete Variable
    • A.F. Nikiforov S.K. Suslov V.B. Uvarov Classical Orthogonal Polynomials of a Discrete Variable 1991 Springer Berlin
    • (1991)
    • Nikiforov, A.F.1    Suslov, S.K.2    Uvarov, V.B.3
  • 10
    • 0004074707 scopus 로고
    • Introduction to Asymptotics and Special Functions
    • F.J.W. Olver Introduction to Asymptotics and Special Functions 1974 Academic Press New York
    • (1974)
    • Olver, F.J.W.1
  • 11
    • 0002857683 scopus 로고
    • Recurrence relation for connection coefficients between two families of orthogonal polynomials
    • A. Ronveaux A. Zarzo E. Godoy Recurrence relation 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
  • 12
    • 0040846049 scopus 로고    scopus 로고
    • Recurrence relation approach for connection coefficients. Application to classical discrete orthogonal polynomials
    • A. Ronveaux S. Belmehdi E. Godoy A. Zarzo Recurrence relation approach for connection coefficients. Application to classical discrete orthogonal polynomials D. Levi L. Vinet P. Winternitz Proc. Internat. Workshop on Symmetries and Integrability of Difference Equations CRM Proceedings and Lecture Note Series vol. 9 1996 AMS Providence, RI 321 337
    • (1996) , pp. 321-337
    • Ronveaux, A.1    Belmehdi, S.2    Godoy, E.3    Zarzo, A.4
  • 13
    • 85119542939 scopus 로고    scopus 로고
    • A. Ronveaux, E. Godoy, A. Zarzo, First associated and co-recursive polynomials of classical discrete orthogonnal polynomials. Difference equations and connection problems, Narvima report 1095.
  • 14
    • 85033099632 scopus 로고
    • Dw-Semi-classical Polynomials
    • w -Semi-classical Polynomials Ph.D. Thesis 1995 Universidad de Alcalá de Henares Alcalá de Henares, Madrid (in spanish)
    • (1995)
    • Salto, L.1
  • 15
    • 0004235026 scopus 로고
    • Mathematica version 2.2
    • Wolfram Research, Inc., Mathematica version 2.2 1993 Wolfram Research Inc Champaign, IL
    • (1993)
    • Wolfram Research, Inc.,,1
  • 16
    • 21444444842 scopus 로고    scopus 로고
    • Inversion problems for classical continuous and discrete orthogonal polynomials
    • A. Zarzo I. Area E. Godoy A. Ronveaux Inversion problems for classical continuous and discrete orthogonal polynomials J. Phys. A: Math. Gen. 30 1997 L35 L40
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. L35-L40
    • Zarzo, A.1    Area, I.2    Godoy, E.3    Ronveaux, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.