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Volumn 162, Issue 2, 2010, Pages 421-440

The Laguerre-Sobolev-type orthogonal polynomials

Author keywords

Laguerre polynomials; Mehler Heine formula; Quasi orthogonal polynomials; Relative asymptotics; Zeros

Indexed keywords


EID: 74149094670     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2009.07.006     Document Type: Article
Times cited : (13)

References (18)
  • 2
    • 4444305837 scopus 로고    scopus 로고
    • Asymptotic properties of generalized Laguerre orthogonal polynomials
    • Alvarez-Nodarse R., and Moreno-Balcázar J.J. Asymptotic properties of generalized Laguerre orthogonal polynomials. Indag. Math. N. S. 15 (2004) 151-165
    • (2004) Indag. Math. N. S. , vol.15 , pp. 151-165
    • Alvarez-Nodarse, R.1    Moreno-Balcázar, J.J.2
  • 4
    • 0348046425 scopus 로고    scopus 로고
    • Quasi-orthogonality with applications to some families of classical orthogonal polynomials
    • Brezinski C., Driver K., and Redivo-Zaglia M. Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Appl. Numer. Math. 48 (2004) 157-168
    • (2004) Appl. Numer. Math. , vol.48 , pp. 157-168
    • Brezinski, C.1    Driver, K.2    Redivo-Zaglia, M.3
  • 7
    • 0003866756 scopus 로고
    • Generalizations of Laguerre polynomials
    • Koekoek R. Generalizations of Laguerre polynomials. J. Math. Anal. Appl. 153 (1990) 576-590
    • (1990) J. Math. Anal. Appl. , vol.153 , pp. 576-590
    • Koekoek, R.1
  • 8
    • 21144479788 scopus 로고
    • A generalization of Laguerre polynomials
    • Koekoek R., and Meijer H.G. A generalization of Laguerre polynomials. SIAM J. Math. Anal. 24 (1993) 768-782
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 768-782
    • Koekoek, R.1    Meijer, H.G.2
  • 10
  • 11
    • 33750541913 scopus 로고    scopus 로고
    • Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
    • Marcellán F., and Moreno-Balcázar J.J. Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports. Acta Appl. Math. 94 (2006) 163-192
    • (2006) Acta Appl. Math. , vol.94 , pp. 163-192
    • Marcellán, F.1    Moreno-Balcázar, J.J.2
  • 12
    • 0038331380 scopus 로고
    • On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
    • Marcellán F., and Ronveaux A. On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Indag. Math. N. S. 1 (1990) 451-464
    • (1990) Indag. Math. N. S. , vol.1 , pp. 451-464
    • Marcellán, F.1    Ronveaux, A.2
  • 13
    • 0035155455 scopus 로고    scopus 로고
    • Analytic aspects of Sobolev orthogonal polynomials revisited
    • Martínez-Finkelshtein A. Analytic aspects of Sobolev orthogonal polynomials revisited. J. Comput. Appl. Math. 127 (2001) 255-266
    • (2001) J. Comput. Appl. Math. , vol.127 , pp. 255-266
    • Martínez-Finkelshtein, A.1
  • 14
    • 38249006759 scopus 로고
    • Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
    • Meijer H.G. Zero distribution of orthogonal polynomials in a certain discrete Sobolev space. J. Math. Anal. Appl. 172 (1993) 520-532
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 520-532
    • Meijer, H.G.1
  • 15
    • 0002170299 scopus 로고    scopus 로고
    • A short history of orthogonal polynomials in a Sobolev space I. The non-discrete case
    • Meijer H.G. A short history of orthogonal polynomials in a Sobolev space I. The non-discrete case. Niew. Arch. Wisk. 14 (1996) 93-112
    • (1996) Niew. Arch. Wisk. , vol.14 , pp. 93-112
    • Meijer, H.G.1
  • 18
    • 74149086839 scopus 로고
    • Amer. Math. Soc., Providence, RI
    • Szego{double acute} G. Orthogonal Polynomials. 4th ed. Amer. Math. Soc. Colloq. Publ. Series vol. 23 (1975), Amer. Math. Soc., Providence, RI
    • (1975) Amer. Math. Soc. Colloq. Publ. Series , vol.23
    • Szego, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.