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Volumn 153, Issue 1-2, 2003, Pages 141-149

Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind

Author keywords

Hermite Pad approximation; Modified Bessel functions; Multiple orthogonal polynomials

Indexed keywords

ASYMPTOTIC STABILITY; BESSEL FUNCTIONS; SET THEORY;

EID: 0037380156     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00596-4     Document Type: Article
Times cited : (18)

References (16)
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  • 6
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    • On 2-orthogonal polynomials of Laguerre type
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  • 7
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    • Driver, K.1    Stahl, H.2
  • 8
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    • Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients
    • J.S. Geronimo, W. Van Assche, Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients, J. Approx. Theory 62 (1990) 47-69.
    • (1990) J. Approx. Theory , vol.62 , pp. 47-69
    • Geronimo, J.S.1    Van Assche, W.2
  • 9
    • 0002546630 scopus 로고    scopus 로고
    • Strong and plancherel-rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials
    • F. Marcell, J.J. Moreno-Balc, Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials, J. Approx. Theory 110 (2001) 54-73.
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  • 10
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    • Rational approximations and orthogonality
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    • E.M. Nikishin, V.N. Sorokin, Rational Approximations and Orthogonality, in: Translations of Mathematical Monographs, Vol. 92, American Mathematical Society, Providence, RI, 1991.
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    • Nikishin, E.M.1    Sorokin, V.N.2
  • 12
    • 0003354741 scopus 로고
    • Asymptotics for orthogonal polynomials
    • Springer, Berlin
    • iW. Van Assche, Asymptotics for orthogonal polynomials, in: Lecture Notes in Mathematics, Vol. 1265, Springer, Berlin, 1987
    • (1987) Lecture Notes in Mathematics , vol.1265
    • Van Assche, W.1
  • 13
    • 0001265332 scopus 로고
    • Asymptotics for orthogonal polynomials and three-term recurrences
    • P. Nevai (Ed.), NATO ASI Series, Series C, Kluwer Academic Publisher, Dordrecht
    • W. Van Assche, Asymptotics for orthogonal polynomials and three-term recurrences, in: P. Nevai (Ed.), Orthogonal Polynomials: Theory and Practice, Vol. 294, NATO ASI Series, Series C, Kluwer Academic Publisher, Dordrecht, 1990, pp. 435-462.
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  • 14
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    • Orthogonal polynomials in the complex plane and on the real line
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  • 15
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    • Some classical multiple orthogonal polynomials
    • W. Van Assche, E. Coussement, Some classical multiple orthogonal polynomials, J. Comput. Appl. Math. 127 (2001) 317-347.
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    • Van Assche, W.1    Coussement, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.