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Volumn 203, Issue 1, 2006, Pages 170-193

Ramanujan continued fractions via orthogonal polynomials

Author keywords

Asymptotics; Orthogonal polynomials; Ramanujan continued fractions; Recurrence relations; Rogers Ramanujan identities

Indexed keywords


EID: 33747797614     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2005.04.006     Document Type: Article
Times cited : (6)

References (18)
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  • 2
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  • 5
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    • Recurrence relations, continued fractions and orthogonal polynomials
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    • (1984) Memoirs Amer. Math. Soc. , vol.300
    • Askey, R.A.1    Ismail, M.E.H.2
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    • The associated ultraspherical polynomials and their q-analogues
    • Bustoz J., and Ismail M.E.H. The associated ultraspherical polynomials and their q-analogues. Canad. J. Math. 34 (1982) 718-736
    • (1982) Canad. J. Math. , vol.34 , pp. 718-736
    • Bustoz, J.1    Ismail, M.E.H.2
  • 9
    • 33747783319 scopus 로고    scopus 로고
    • M.E.H. Ismail, X. Li, Ramanujan's q-continued fractions, preprint.
  • 10
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    • On the generalized Chebyshev polynomials
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    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 243-258
    • Ismail, M.E.H.1    Mulla, F.S.2
  • 12
    • 33747762360 scopus 로고    scopus 로고
    • R. Koekoek, R. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues, Reports of the Faculty of Technical Mathematics and Informatics no. 98-17, Delft University of Technology, Delft, 1998.
  • 13
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    • Orthogonal polynomials
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    • (1979) Mem. Amer. Math. Soc. , vol.213 , pp. 213
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  • 14
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    • Orthogonal polynomials and Christoffel functions, a case study
    • Nevai P., and Freud G. Orthogonal polynomials and Christoffel functions, a case study. J. Approx. Theory 48 (1986) 3-167
    • (1986) J. Approx. Theory , vol.48 , pp. 3-167
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  • 15
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    • Further identities of the Rogers-Ramanujan type
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.