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Volumn 345, Issue 1, 2008, Pages 1-10

Ladder operators for q-orthogonal polynomials

Author keywords

Difference equations; Indeterminate moments problem; q Orthogonal polynomials

Indexed keywords


EID: 43949127710     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.03.031     Document Type: Article
Times cited : (30)

References (13)
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    • Estimates of the Hermite and Freud polynomials
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    • Bonan, S.S.1    Clark, D.S.2
  • 4
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    • Ladder operators and differential equations for orthogonal polynomials
    • Chen Y., and Ismail M.E.H. Ladder operators and differential equations for orthogonal polynomials. J. Phys. A 30 (1997) 7818-7829
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    • Chen, Y.1    Ismail, M.E.H.2
  • 5
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    • Jacobi polynomials from compatibility conditions
    • Chen Y., and Ismail M.E.H. Jacobi polynomials from compatibility conditions. Proc. Amer. Math. Soc. 133 (2004) 465-472
    • (2004) Proc. Amer. Math. Soc. , vol.133 , pp. 465-472
    • Chen, Y.1    Ismail, M.E.H.2
  • 6
    • 0037283138 scopus 로고    scopus 로고
    • The moment problem associated with the Stieltjes-Wigert polynomials
    • Christiansen J.S. The moment problem associated with the Stieltjes-Wigert polynomials. J. Math. Anal. Appl. 277 (2003) 218-245
    • (2003) J. Math. Anal. Appl. , vol.277 , pp. 218-245
    • Christiansen, J.S.1
  • 7
    • 0037949162 scopus 로고    scopus 로고
    • Difference equations and quantized discriminants for q-orthogonal polynomials
    • Ismail M.E.H. Difference equations and quantized discriminants for q-orthogonal polynomials. Adv. in Appl. Math. 30 (2003) 562-589
    • (2003) Adv. in Appl. Math. , vol.30 , pp. 562-589
    • Ismail, M.E.H.1
  • 9
    • 17444402877 scopus 로고    scopus 로고
    • Difference equations and discriminants for discrete orthogonal polynomials
    • Ismail M.E.H., Nikolova I., and Simeonov P. Difference equations and discriminants for discrete orthogonal polynomials. Ramanujan J. 8 (2004) 475-502
    • (2004) Ramanujan J. , vol.8 , pp. 475-502
    • Ismail, M.E.H.1    Nikolova, I.2    Simeonov, P.3
  • 10
    • 43949104454 scopus 로고    scopus 로고
    • R. Koekoek, R. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues, Report of the Faculty of Technical Mathematics and Informatics No. 98-17, Delft University of Technology, Delft, 1998
    • R. Koekoek, R. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues, Report of the Faculty of Technical Mathematics and Informatics No. 98-17, Delft University of Technology, Delft, 1998
  • 11
    • 0009256512 scopus 로고
    • Bounds for certain Freud polynomials
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    • Mhaskar, H.L.1
  • 12
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    • The q-analogue of the Laguerre polynomials
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    • (1981) J. Math. Anal. Appl. , vol.81 , pp. 20-47
    • Moak, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.