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Volumn 107, Issue 1, 1999, Pages 1-20

A method of constructing Krall's polynomials

Author keywords

Geronimus transformation; Jacobi polynomial; Krall's polynomial; Primary 33C45

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING;

EID: 0032625895     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00070-9     Document Type: Article
Times cited : (48)

References (14)
  • 4
    • 0001185631 scopus 로고
    • On the polynomials orthogonal with respect to a given number sequence and a theorem by W. Hahn
    • Geronimus Ya.L. On the polynomials orthogonal with respect to a given number sequence and a theorem by W. Hahn. Izv. Akad. Nauk SSSR. 4:1940;215-228.
    • (1940) Izv. Akad. Nauk SSSR , vol.4 , pp. 215-228
    • Geronimus, Ya.l.1
  • 5
    • 0001437854 scopus 로고
    • On a differential equation for Koornwinder's generalized Laguerre polynomials
    • Koekoek J., Koekoek R. On a differential equation for Koornwinder's generalized Laguerre polynomials. Proc. Amer. Math. Soc. 112:1991;1045-1054.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 1045-1054
    • Koekoek, J.1    Koekoek, R.2
  • 6
    • 0003056965 scopus 로고
    • Differential equations for symmetric generalized ultraspherical polynomials
    • Koekoek R. Differential equations for symmetric generalized ultraspherical polynomials. Trans. Amer. Math. Soc. 345:1994;47-71.
    • (1994) Trans. Amer. Math. Soc. , vol.345 , pp. 47-71
    • Koekoek, R.1
  • 9
    • 0000181519 scopus 로고
    • Certain differential equations for Tchebychev polynomials
    • Krall H.L. Certain differential equations for Tchebychev polynomials. Duke Math. J. 4:1938;705-719.
    • (1938) Duke Math. J. , vol.4 , pp. 705-719
    • Krall, H.L.1
  • 10
    • 0038858539 scopus 로고
    • Orthogonal polynomials and higher order singular Sturm-Liouville systems
    • Littlejohn L.L., Krall A.M. Orthogonal polynomials and higher order singular Sturm-Liouville systems. Acta Applicande Math. 17:1989;99-170.
    • (1989) Acta Applicande Math. , vol.17 , pp. 99-170
    • Littlejohn, L.L.1    Krall, A.M.2
  • 11
    • 0001243950 scopus 로고
    • Discrete Darboux transformation, discrete-time Toda lattice and the Askey-Wilson polynomials
    • Spiridonov V., Zhedanov A. Discrete Darboux transformation, discrete-time Toda lattice and the Askey-Wilson polynomials. Methods Appl. Anal. 2:1995;369-398.
    • (1995) Methods Appl. Anal. , vol.2 , pp. 369-398
    • Spiridonov, V.1    Zhedanov, A.2
  • 12
    • 0031558716 scopus 로고    scopus 로고
    • Spectral transformations, self-similar reductions and orthogonal polynomials
    • Spiridonov V., Vinet L., Zhedanov A. Spectral transformations, self-similar reductions and orthogonal polynomials. J. Phys. A 30:1997;7621-7637.
    • (1997) J. Phys. , vol.30 , pp. 7621-7637
    • Spiridonov, V.1    Vinet, L.2    Zhedanov, A.3
  • 14
    • 0031556641 scopus 로고    scopus 로고
    • Rational spectral transformations and orthogonal polynomials
    • Zhedanov A. Rational spectral transformations and orthogonal polynomials. J. Comput. Appl. Math. 85:1997;67-86.
    • (1997) J. Comput. Appl. Math. , vol.85 , pp. 67-86
    • Zhedanov, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.