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Volumn 110, Issue 1, 2001, Pages 54-73

Strong and plancherel-rotach asymptotics of non-diagonal laguerre-sobolev orthogonal polynomials

Author keywords

asymptotics; Bessel functions; Laguerre polynomials; Plancherel Rotach asymptotics; scaled polynomials; Sobolev orthogonal polynomials

Indexed keywords


EID: 0002546630     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2000.3530     Document Type: Article
Times cited : (14)

References (15)
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  • 3
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    • Geronimo, J.S.1    Van Assche, W.2
  • 6
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    • Asymptotic properties of Sobolev orthogonal polynomials
    • Martínez-Finkelshtein A. Asymptotic properties of Sobolev orthogonal polynomials. J. Comput. Appl. Math. 99:1998;491-510.
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    • Martínez-Finkelshtein, A.1
  • 7
    • 0031161776 scopus 로고    scopus 로고
    • Determination of all coherent pairs
    • Meijer H. G. Determination of all coherent pairs. J. Approx. Theory. 89:1997;321-343.
    • (1997) J. Approx. Theory , vol.89 , pp. 321-343
    • Meijer, H.G.1
  • 9
  • 10
    • 0038584691 scopus 로고    scopus 로고
    • On Sobolev orthogonal polynomials with coherent pairs: The Laguerre case, type 1
    • Pan K. On Sobolev orthogonal polynomials with coherent pairs: The Laguerre case, type 1. J. Math. Anal. Appl. 223:1998;319-334.
    • (1998) J. Math. Anal. Appl. , vol.223 , pp. 319-334
    • Pan, K.1
  • 12
    • 0013082446 scopus 로고
    • Einfache verallgemeinerte klassische Orthogonalpolynome
    • Schäfke F. W., Wolf G. Einfache verallgemeinerte klassische Orthogonalpolynome. J. Reine Angew. Math. 262/263:1973;339-355.
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    • Schäfke, F.W.1    Wolf, G.2
  • 13
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    • Orthogonal Polynomials
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  • 14
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    • Asymptotics for Orthogonal Polynomials
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    • Van Assche W. Asymptotics for Orthogonal Polynomials. Lecture Notes in Mathematics. 1265:1987;Springer-Verlag, Berlin.
    • (1987) Lecture Notes in Mathematics , vol.1265
    • Van Assche, W.1
  • 15
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    • Van Assche W. Asymptotics for orthogonal polynomials and three-term recurrences. Nevai P. Orthogonal Polynomials: Theory and Practice. NATO ASI Series, Serie C. 294:1990;435-462 Kluwer Academic, Dordrecht.
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    • Van Assche, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.