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Volumn 2, Issue 3, 1994, Pages 185-218

On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals

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EID: 21444441335     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652469408819050     Document Type: Article
Times cited : (30)

References (27)
  • 1
    • 0006369519 scopus 로고
    • A Characterization of the Classical Orthogonal Polynomials
    • P. Nevai, A. Pinkus. Eds. Academic Press
    • R.P. Agarwal, G.V. Milovanovic, A Characterization of the Classical Orthogonal Polynomials, In Progress in Approximation Theory, P. Nevai, A. Pinkus. Eds. Academic Press (1991), 1–4
    • (1991) In Progress in Approximation Theory , pp. 1-4
    • Agarwal, R.P.1    Milovanovic, G.V.2
  • 2
    • 0002803522 scopus 로고
    • Characterization Theorems for Orthogonal Polynomials
    • P. Nevai Ed. Kluwer Academic Publishers, Dordredit
    • W. Al-Salam, Characterization Theorems for Orthogonal Polynomials, In Orthogonal Polynomials: Theory and Practice, P. Nevai Ed. Kluwer Academic Publishers (1990), 1–24. Dordredit
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 1-24
    • Al-Salam, W.1
  • 3
    • 0002718586 scopus 로고
    • Another Characterization of the Classical Orthogonal Polynomials
    • W. Al-Salam, T.S. Chihara, Another Characterization of the Classical Orthogonal Polynomials, SIAM J. Math. Anal., 3(1), (1972), 65–70
    • (1972) SIAM J. Math. Anal , vol.3 , Issue.1 , pp. 65-70
    • Al-Salam, W.1    Chihara, T.S.2
  • 5
    • 0000032737 scopus 로고
    • Uber Sturm-Liouvillesche Polynomsysteme
    • S. Bochner, Uber Sturm-Liouvillesche Polynomsysteme, Math. Zeit. 29, 1929, 730–736
    • (1929) Math. Zeit , vol.29 , pp. 730-736
    • Bochner, S.1
  • 7
    • 0003358801 scopus 로고
    • Rodrigues Formula and the Classical Orthogonal Polynomials
    • C.W. Cryer, Rodrigues Formula and the Classical Orthogonal Polynomials, Boll. Un. Mat. Ital., (3)25, (1970), 1–11
    • (1970) Boll. Un. Mat. Ital , vol.25 , Issue.3 , pp. 1-11
    • Cryer, C.W.1
  • 8
    • 0041073087 scopus 로고
    • The Three-term Recurrence Relation and the Differentiation Formulas for Functions of Hypergeometric Type
    • In Press
    • J.S. Dehesa, A.F. Nikiforov, R.J. Yañez, The Three-term Recurrence Relation and the Differentiation Formulas for Functions of Hypergeometric Type, J. Math. Anal, and Appl., (1994), In Press
    • (1994) J. Math. Anal, and Appl
    • Dehesa, J.S.1    Nikiforov, A.F.2    Yañez, R.J.3
  • 9
    • 38249008558 scopus 로고
    • On a new Characterization of the Classical Orthogonal Polynomials
    • H. Dette, W.J. Studden, On a new Characterization of the Classical Orthogonal Polynomials, J. Approx. Theory., 71, (1992), 3–17
    • (1992) J. Approx. Theory , vol.71 , pp. 3-17
    • Dette, H.1    Studden, W.J.2
  • 10
    • 0001185631 scopus 로고
    • On Polynomials Orthogonal With Respect to Numerical Sequences and on Hahn's Theorem (in Russian)
    • Ya.L. Geronimus, On Polynomials Orthogonal With Respect to Numerical Sequences and on Hahn's Theorem, (in Russian) Izv. Akad. Nauk., 4, (1940), 215–228
    • (1940) Izv. Akad. Nauk , vol.4 , pp. 215-228
    • Geronimus, Y.L.1
  • 11
    • 0001372628 scopus 로고
    • Uber die Jacobischen Polynome und Zwei Verwandte Polynomklassen
    • W. Hahn: Uber die Jacobischen Polynome und Zwei Verwandte Polynomklassen. Math. Zeit. 39. (1935). 634–638
    • (1935) Math. Zeit , vol.39 , pp. 634-638
    • Hahn, W.1
  • 12
    • 0001551692 scopus 로고
    • Uber höhere Ableitungen von Orthogonalpolynomen
    • W. Hahn, Uber höhere Ableitungen von Orthogonalpolynomen, Math. Zeit., 43, (1937), 101
    • (1937) Math. Zeit , vol.43 , pp. 101
    • Hahn, W.1
  • 13
    • 0001198708 scopus 로고
    • Characterizations of Classical Orthogonal Polynomials
    • K.H. Kwon, J.K. Lee, B.H. Yoo, Characterizations of Classical Orthogonal Polynomials, Results in Mathematics, 24, (1993), 119–128
    • (1993) Results in Mathematics , vol.24 , pp. 119-128
    • Kwon, K.H.1    Lee, J.K.2    Yoo, B.H.3
  • 16
    • 27344431933 scopus 로고
    • Sur Quelques Espaces de Distributions qui sont des Formes Linéaires sur 1′ Espace Vectoriel des Polynômes
    • In C. Brezinski et al. Eds., Springer-Verlag, Berlin, 184–194
    • P. Maroni, Sur Quelques Espaces de Distributions qui sont des Formes Linéaires sur 1′ Espace Vectoriel des Polynômes, In C. Brezinski et al. Eds. Simposium Laguerre, Bar-le-Duc. Lecture Notes in Math, 1171, Springer-Verlag, Berlin, 1985, 184–194
    • (1985) Simposium Laguerre, Bar-le-Duc. Lecture Notes in Math , pp. 1171
    • Maroni, P.1
  • 17
    • 0000100482 scopus 로고
    • Le Calcul des Formes Linéaires et les Polynômes Orthogonaux Semiclassiques
    • M. Alfaro et al. Eds. Lecture Notes in Math., 1329, Springer-Verlag, Berlin
    • P. Maroni, Le Calcul des Formes Linéaires et les Polynômes Orthogonaux Semiclassiques, In Orthogonal Polynomials and Their Applications, M. Alfaro et al. Eds. Lecture Notes in Math., 1329, Springer-Verlag, Berlin, 1988, 279–290
    • (1988) Orthogonal Polynomials and Their Applications , pp. 279-290
    • Maroni, P.1
  • 18
    • 0002309582 scopus 로고
    • Une Théorie Algébrique des Polynômes Orthogonaux. Applications aux Polynômes Orthogonaux Semiclassiques
    • In C. Brezinski et al. Eds., (IMACS Annals on Computing and Applied Mathematics, J.C. Baltzer AG, Scientific Publish. Comp
    • P. Maroni, Une Théorie Algébrique des Polynômes Orthogonaux. Applications aux Polynômes Orthogonaux Semiclassiques, In C. Brezinski et al. Eds. Orthogonal Polynomials and Their Applications, (IMACS Annals on Computing and Applied Mathematics, 9, nos. 1-4, (1991) J.C. Baltzer AG, Scientific Publish. Comp., 98–130
    • (1991) Orthogonal Polynomials and Their Applications , vol.9 , Issue.1-4 , pp. 98-130
    • Maroni, P.1
  • 19
    • 0009444189 scopus 로고
    • Variations autour des Polynômes Orthogonaux Classiques
    • Série I
    • P. Maroni, Variations autour des Polynômes Orthogonaux Classiques, C.R. Acad. Sci. Paris., 313, Série I., (1991), 209–212
    • (1991) C.R. Acad. Sci. Paris , vol.313 , pp. 209-212
    • Maroni, P.1
  • 20
    • 0000138170 scopus 로고
    • Variations Around Classical Orthogonal Polynomials. Connected Problems
    • P. Maroni, Variations Around Classical Orthogonal Polynomials. Connected Problems, Journal of Comp, and App. Math., 48, (1993), 133–155
    • (1993) Journal of Comp, and App. Math , vol.48 , pp. 133-155
    • Maroni, P.1
  • 21
    • 0042850188 scopus 로고
    • Characterizations of Classical Polynomials
    • P.J. McCarthy, Characterizations of Classical Polynomials, Port. Math., 20(1), (1961), 4752
    • (1961) Port. Math , vol.20 , Issue.1 , pp. 4752
    • McCarthy, P.J.1
  • 24
    • 0019717066 scopus 로고
    • The Rodrigues Formula and Polynomial Differential Operators
    • R. Rasala, The Rodrigues Formula and Polynomial Differential Operators, Journ, of Math. Anal, and Appl, 84, (1981), 443–482
    • (1981) Journ, of Math. Anal, and Appl , vol.84 , pp. 443-482
    • Rasala, R.1
  • 25
    • 0001197480 scopus 로고
    • 4th Order Differential Equations and Orthogonal Polynomials of The Laguerre-Hahn Class
    • In C. Brezinski et al. Eds., (IMACS Annals on Computing and Applied Mathematics, J.C. Baltzer AG, Scientific Publish. Com
    • A. Ronveaux, 4th Order Differential Equations and Orthogonal Polynomials of The Laguerre-Hahn Class, In C. Brezinski et al. Eds. Orthogonal Polynomials and Their Applications, (IMACS Annals on Computing and Applied Mathematics, 9, nos. 1-4, (1991) J.C. Baltzer AG, Scientific Publish. Comp. 379–385
    • (1991) Orthogonal Polynomials and Their Applications , vol.9 , Issue.1-4 , pp. 379-385
    • Ronveaux, A.1
  • 26


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