메뉴 건너뛰기




Volumn 178, Issue 1-2 SPEC. ISS., 2005, Pages 361-375

Multiple little q-Jacobi polynomials

Author keywords

Basis hypergeometric polynomials; Multiple orthogonal polynomials; q Jacobi polynomials

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENCE EQUATIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; POLES AND ZEROS;

EID: 14844359039     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.03.031     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 0001798987 scopus 로고
    • Enumeration of partitions: The role of Eulerian series and q-orthogonal polynomials
    • M. Aigner (Ed.), Reidel Publications Boston
    • G.E. Andrews R. Askey Enumeration of partitions: The role of Eulerian series and q-orthogonal polynomials, in: M. Aigner (Ed.), Higher Combinatorics 1977 Reidel Publications Boston
    • (1977) Higher Combinatorics , pp. 3-26
    • Andrews, G.E.1    Askey, R.2
  • 3
    • 0032206942 scopus 로고    scopus 로고
    • Multiple orthogonal polynomials
    • A.I. Aptekarev Multiple orthogonal polynomials J. Comput. Appl. Math. 99 1998 423-447
    • (1998) J. Comput. Appl. Math. , vol.99 , pp. 423-447
    • Aptekarev, A.I.1
  • 6
    • 0038376881 scopus 로고
    • Asymptotics of the Askey-Wilson and q-Jacobi polynomials
    • M.E.H. Ismail Asymptotics of the Askey-Wilson and q-Jacobi polynomials SIAM J. Math. Anal. 17 1986 1475-1482
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1475-1482
    • Ismail, M.E.H.1
  • 7
    • 0001989372 scopus 로고
    • Asymptotic and generating relations for the q-Jacobi and 4φ3 polynomials
    • M.E.H. Ismail J.A. Wilson Asymptotic and generating relations for the q-Jacobi and 4 φ 3 polynomials J. Approx. Theory 36 1982 43-54
    • (1982) J. Approx. Theory , vol.36 , pp. 43-54
    • Ismail, M.E.H.1    Wilson, J.A.2
  • 8
    • 0003884388 scopus 로고    scopus 로고
    • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
    • math.CA/9602214 at arXiv.org
    • R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, math.CA/9602214 at arXiv.org.
    • Koekoek, R.1    Swarttouw, R.F.2
  • 9
    • 0013357007 scopus 로고
    • The addition formula for little q-Legendre polynomials and the SU(2) quantum group
    • T.H. Koornwinder The addition formula for little q-Legendre polynomials and the SU(2) quantum group SIAM J. Math. Anal. 22 1991 295-301
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 295-301
    • Koornwinder, T.H.1
  • 10
    • 0000203682 scopus 로고
    • Representations of the quantum group SUq(2) and the little q-Jacobi polynomials
    • T. Masuda K. Mimachi Y. Nakagami M. Noumi K. Ueno Representations of the quantum group SU q ( 2 ) and the little q-Jacobi polynomials J. Funct. Anal. 99 1991 357-386
    • (1991) J. Funct. Anal. , vol.99 , pp. 357-386
    • Masuda, T.1    Mimachi, K.2    Nakagami, Y.3    Noumi, M.4    Ueno, K.5
  • 11
    • 0003357940 scopus 로고
    • Rational approximations and orthogonality
    • American Mathematical Society Providence RI
    • E.M. Nikishin V.N. Sorokin Rational approximations and orthogonality Translations of Mathematical Monographs vol. 92 1991 American Mathematical Society Providence RI
    • (1991) Translations of Mathematical Monographs , vol.92
    • Nikishin, E.M.1    Sorokin, V.N.2
  • 12
    • 14844339882 scopus 로고    scopus 로고
    • q (2)
    • manuscript
    • K. Postelmans, W. Van Assche, Irrationality of ζ q ( 1 ) and ζ q ( 2 ) , manuscript.
    • Postelmans, K.1    Van Assche, W.2
  • 13
    • 0031526273 scopus 로고    scopus 로고
    • Multivariable big and little q-Jacobi polynomials
    • J.V. Stokman Multivariable big and little q-Jacobi polynomials SIAM J. Math. Anal. 28 1997 452-480
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 452-480
    • Stokman, J.V.1
  • 14
    • 0035730590 scopus 로고    scopus 로고
    • Little q-Legendre polynomials and irrationality of certain Lambert series
    • W. Van Assche Little q-Legendre polynomials and irrationality of certain Lambert series Ramanujan J. 5 2001 295-310
    • (2001) Ramanujan J. , vol.5 , pp. 295-310
    • Van Assche, W.1
  • 15
    • 0035156173 scopus 로고    scopus 로고
    • Some classical multiple orthogonal polynomials
    • W. Van Assche E. Coussement Some classical multiple orthogonal polynomials J. Comput. Appl. Math. 127 2001 317-347
    • (2001) J. Comput. Appl. Math. , vol.127 , pp. 317-347
    • Van Assche, W.1    Coussement, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.