메뉴 건너뛰기




Volumn 14, Issue 1, 2003, Pages 31-57

Δ-coherent pairs and orthogonal polynomials of a discrete variable

Author keywords

coherent pairs; Linear functionals; Orthogonal polynomials of a discrete variable

Indexed keywords


EID: 0037303342     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460304546     Document Type: Article
Times cited : (16)

References (23)
  • 4
    • 0002572215 scopus 로고
    • On the properties for modifications of classical orthogonal polynomials of discrete variables
    • Álvarez-Nodarse, R., García, A. G. and Marcellán, F. (1995). On the properties for modifications of classical orthogonal polynomials of discrete variables. J. Comput. Appl. Math., 65, 3-18.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 3-18
    • Álvarez-Nodarse, R.1    García, A.G.2    Marcellán, F.3
  • 7
    • 0001221148 scopus 로고
    • A distributional study of discrete classical orthogonal polynomials
    • García, A. G., Marcellán, F. and Salto, L. (1995). A distributional study of discrete classical orthogonal polynomials. J. Comput. Appl. Math., 57, 147-162.
    • (1995) J. Comput. Appl. Math. , vol.57 , pp. 147-162
    • García, A.G.1    Marcellán, F.2    Salto, L.3
  • 9
    • 0001468482 scopus 로고
    • On Polynomials orthogonal with respect to certain Sobolev Inner Products
    • Iserles, A., Koch, P. E., Nørsett, S. P. and Sanz-Serna, J. M. (1991). On Polynomials orthogonal with respect to certain Sobolev Inner Products. J. Approx. Theory, 65, 151-175.
    • (1991) J. Approx. Theory , vol.65 , pp. 151-175
    • Iserles, A.1    Koch, P.E.2    Nørsett, S.P.3    Sanz-Serna, J.M.4
  • 10
    • 0003884388 scopus 로고    scopus 로고
    • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
    • Report 98-17, Delft University of Technology, Delft
    • Koekoek, R. and Swarttouw, R. F. (1998). The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Report 98-17, Fac. Techn. Math. Informatics, Delft University of Technology, Delft.
    • (1998) Fac. Techn. Math. Informatics
    • Koekoek, R.1    Swarttouw, R.F.2
  • 11
    • 0012634806 scopus 로고
    • Vervollständigung der klassischen Orthogonalpolynome durch Ergänzungen zum Askey-Schema der hypergeometrischen orthogonalen Polynome
    • Lesky, P. A. (1995). Vervollständigung der klassischen Orthogonalpolynome durch Ergänzungen zum Askey-Schema der hypergeometrischen orthogonalen Polynome. Sitzungsber. Abt. II, 204, 151-166.
    • (1995) Sitzungsber. Abt. II , vol.204 , pp. 151-166
    • Lesky, P.A.1
  • 12
    • 0029378543 scopus 로고
    • Krawtchouk polynomials and universal bounds for codes and design in Hamming spaces
    • Levenshtein, V. I. (1995). Krawtchouk polynomials and universal bounds for codes and design in Hamming spaces. IEEE Trans. Inform. Theory, 41, 1303-1321.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1303-1321
    • Levenshtein, V.I.1
  • 13
    • 0002379502 scopus 로고
    • Sur l'adjonction d'une masse de Dirac á une forme régulière et semiclassique
    • Marcellán, F. and Maroni, P. (1992). Sur l'adjonction d'une masse de Dirac á une forme régulière et semiclassique. Ann. Mat. Pura ed Appl. (IV), CLXII, 1-22.
    • (1992) Ann. Mat. Pura ed Appl. (IV) , vol.162 , pp. 1-22
    • Marcellán, F.1    Maroni, P.2
  • 14
    • 0031559386 scopus 로고    scopus 로고
    • Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support
    • Marcellán, F., Martínez-Finkelshtein, A. and Moreno-Balcazar, J. J. (1997). Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. J. Comput. Appl. Math., 81(2), 217-227.
    • (1997) J. Comput. Appl. Math. , vol.81 , Issue.2 , pp. 217-227
    • Marcellán, F.1    Martínez-Finkelshtein, A.2    Moreno-Balcazar, J.J.3
  • 15
    • 0001044140 scopus 로고
    • Orthogonal polynomials and coherent pairs: The classical case
    • Marcellán, F. and Petronilho, J. C. (1995). Orthogonal polynomials and coherent pairs: the classical case. Indag. Mathem. N.S., 60), 287-307.
    • (1995) Indag. Mathem. N.S. , vol.60 , pp. 287-307
    • Marcellán, F.1    Petronilho, J.C.2
  • 17
    • 0000276780 scopus 로고    scopus 로고
    • Discrete semi-classical orthogonal polynomials
    • Marcellán, F. and Salto, L. (1998). Discrete semi-classical orthogonal polynomials. J. Difference Equations, 4, 463-496.
    • (1998) J. Difference Equations , vol.4 , pp. 463-496
    • Marcellán, F.1    Salto, L.2
  • 18
    • 0002309582 scopus 로고
    • Une théorie algébrique des polynômes orthogunaux. Application aux polynômes orthogonaux semi-classiques
    • Brezinski, C., Gori, L. and Ronveaux, A. (Eds.), Basel, Switzerland, J. C. Baltzer A. G,
    • Maroni, P. (1991). Une théorie algébrique des polynômes orthogunaux. Application aux polynômes orthogonaux semi-classiques. In: Brezinski, C., Gori, L. and Ronveaux, A. (Eds.), Orthogonal Polynomials and Their Applications, Vol. 9. Basel, Switzerland, J. C. Baltzer A. G, pp. 95-130.
    • (1991) Orthogonal Polynomials and Their Applications , vol.9 , pp. 95-130
    • Maroni, P.1
  • 20
    • 0031161776 scopus 로고    scopus 로고
    • Determination of all coherent pairs
    • Meijer, H. G. (1997). Determination of all coherent pairs. J. Approx. Theory, 89, 321-343.
    • (1997) J. Approx. Theory , vol.89 , pp. 321-343
    • Meijer, H.G.1
  • 22
    • 22044433085 scopus 로고    scopus 로고
    • Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type I
    • Pan, K. (1998). Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type I. Proc. Amer. Math. Soc., 126, 2377-2388.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 2377-2388
    • Pan, K.1
  • 23
    • 0031097669 scopus 로고    scopus 로고
    • On Sobolev orthogonal polynomials with coherent pairs. The Jacobi case
    • Pan, K. (1997). On Sobolev orthogonal polynomials with coherent pairs. The Jacobi case. J. Comput Appl. Math., 79(2), 249-262.
    • (1997) J. Comput Appl. Math. , vol.79 , Issue.2 , pp. 249-262
    • Pan, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.