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Volumn 62, Issue 3-4, 1996, Pages 349-366

A generalization of the class laguerre polynomials: Asymptotic properties and zeros

Author keywords

Discrete measures; Laguerre polynomials; Zeros

Indexed keywords


EID: 0005896773     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036819608840488     Document Type: Article
Times cited : (10)

References (25)
  • 1
    • 0000410353 scopus 로고
    • A Generalization of the Classical Laguerre Polynomials
    • Marcellan, F., 1995. A Generalization of the Classical Laguerre Polynomials. Rend. Circ. Mat. Palermo. Serie II., 44: 315-329.
    • (1995) Rend. Circ. Mat. Palermo. Serie II. , vol.44 , pp. 315-329
    • Marcellan, F.1
  • 2
    • 0009847987 scopus 로고
    • Spectral Properties of the biconflu.ent Hewn differential equation
    • Arriola, E.R., Zarzo, A., and Dehesa, J. S., 1991. Spectral Properties of the biconflu.ent Hewn differential equation. J.Comput.Appl.Math, 37: 161-169.
    • (1991) J.Comput.Appl.Math , vol.37 , pp. 161-169
    • Arriola, E.R.1    Zarzo, A.2    Dehesa, J.S.3
  • 3
    • 0005787095 scopus 로고
    • Orthogonal polynomials associated to some modifications of a linear functional
    • Behnehdi, S. L., and Marcellan, F., 1992. Orthogonal polynomials associated to some modifications of a linear functional. Appl. Analysis, 46 (1): 1-24.
    • (1992) Appl. Analysis , vol.46 , Issue.1 , pp. 1-24
    • Behnehdi, S.L.1    Marcellan, F.2
  • 4
    • 0002659384 scopus 로고
    • Sonic Progress in Approximation of onedimensional fourth order problems
    • Nevai P., Pinkus A., (eds), Academic Press. San Diego, and,. Edited by
    • Bernardi, C., and Maday, Y., 1991. “ Sonic Progress in Approximation of onedimensional fourth order problems ”. In Progress in Approximation Theory, Edited by: Nevai, P., and Pinkus, A., 13-116. Academic Press. San Diego.
    • (1991) Progress in Approximation Theory , pp. 13-116
    • Bernardi, C.1    Maday, Y.2
  • 5
    • 0004413787 scopus 로고
    • The distribution of the :eras of the polynomial eigenfunctions of ordinary differential operators of arbitrary order. In
    • Alfaro et.al M., (ed), Berlin: Springer-Verlag, Lecture Notes Mathematics, and,. Edited by
    • Bueudfa, E., Dehesa, S. J., and Galvez, F. J., 1988. “ The distribution of the:eras of the polynomial eigenfunctions of ordinary differential operators of arbitrary order. In ”. In Orthogonal Polynomials and their Applications, Edited by: Alfaro et.al, M., Vol. 1329, 222-235. Berlin: Springer-Verlag. Lecture Notes in Mathematics
    • (1988) Orthogonal Polynomials and their Applications , vol.1329 , pp. 222-235
    • Bueudfa, E.1    Dehesa, S.J.2    Galvez, F.J.3
  • 6
    • 0000235008 scopus 로고
    • Orthogonal polynomials and measures with end point rnasses
    • Chihara, T. S., 1985. Orthogonal polynomials and measures with end point rnasses. Rocky Mount. J. of Matli, 15 (3): 705-719.
    • (1985) Rocky Mount. J. of Matli , vol.15 , Issue.3 , pp. 705-719
    • Chihara, T.S.1
  • 8
    • 0002994425 scopus 로고
    • Sur l'adjonr_tion de deux masses de Dirac a tine fornte regulifroe gulcongue
    • Cachafeiro A., Godov F., (eds), Actas del V Simposium. Universidad de Santiago. Vigo, and,. Edited by
    • Draidi, N., and Maroni, P., 1988. “ Sur l'adjonr_tion de deux masses de Dirac a tine fornte regulifroe gulcongue ”. In In Polinomios ortogonales y sus aplicaciones, Edited by: Cachafeiro, A., and Godov, F., 83-90. Actas del V Simposium. Universidad de Santiago. Vigo.
    • (1988) In Polinomios ortogonales y sus aplicaciones , pp. 83-90
    • Draidi, N.1    Maroni, P.2
  • 9
    • 0001471025 scopus 로고
    • On the convergence of Pade' approximants for some classes of meromorphir function
    • Gonclhar, A. A., 1975. On the convergence of Pade' approximants for some classes of meromorphir function. Mat. Sb, 97 (139): 607-629.
    • (1975) Mat. Sb , vol.97 , Issue.139 , pp. 607-629
    • Gonclhar, A.A.1
  • 10
    • 21144479788 scopus 로고
    • A generalization of Laguerre polynomials
    • Koekoek, R., and Meijer, H. G., 1993. A generalization of Laguerre polynomials. SIAM.1. Mat. Anal, 24 (3): 768-782.
    • (1993) SIAM.1. Mat. Anal , vol.24 , Issue.3 , pp. 768-782
    • Koekoek, R.1    Meijer, H.G.2
  • 11
    • 0003520195 scopus 로고
    • Generalizations of the classical Laguerre Polynomials and some q-anulogues
    • Delft University of Technology,. In
    • Koekoek, R., 1990. “ Generalizations of the classical Laguerre Polynomials and some q-anulogues ”. In Doctoral Dissertation, Delft University of Technology.
    • (1990) Doctoral Dissertation
    • Koekoek, R.1
  • 12
    • 0000879648 scopus 로고
    • ∞ (1+x) + M8(x+1) + N8 (x-1)
    • ∞ (1+x) + M8(x+1) + N8 (x-1). Canad. Math. Bull., 27 (2): 205-214.
    • (1984) Canad. Math. Bull. , vol.27 , Issue.2 , pp. 205-214
    • Koornwinder, T.H.1
  • 13
    • 84971195130 scopus 로고
    • Orthogonal Polynomials satisfying a Certain fourth order differential equations
    • Krall, A. M., 1981. Orthogonal Polynomials satisfying a Certain fourth order differential equations. Proc. Roy. Soc. Edinburgh, 87: 271-288.
    • (1981) Proc. Roy. Soc. Edinburgh , vol.87 , pp. 271-288
    • Krall, A.M.1
  • 14
    • 0003272555 scopus 로고
    • On Orthogonal Polynomials satisfing a certain fourth order differential equations
    • Krall, H. L., 1940. On Orthogonal Polynomials satisfing a certain fourth order differential equations. The Pennsylvania State Collage Bulletin, 6: 1-24.
    • (1940) The Pennsylvania State Collage Bulletin , vol.6 , pp. 1-24
    • Krall, H.L.1
  • 15
    • 0000679057 scopus 로고
    • Conrergence of pade approximants of stieltjes type meromorphic functions and comparative asymotic for arthogonal polynomials
    • Lopez, G., 1989. Conrergence of pade approximants of stieltjes type meromorphic functions and comparative asymotic for arthogonal polynomials. Math. USSR. Sb., 64: 207-227.
    • (1989) Math. USSR. Sb. , vol.64 , pp. 207-227
    • Lopez, G.1
  • 16
    • 0002379502 scopus 로고
    • Sur l'adjonction dune masse de Dirac a une formc reguliere et semi-classique
    • Marcellan, F., and Maroni, P., 1992. Sur l'adjonction dune masse de Dirac a une formc reguliere et semi-classique. Ann. slat. Pura ed Appl, CLXII (4): 1-22.
    • (1992) Ann. slat. Pura ed Appl , vol.162 , Issue.4 , pp. 1-22
    • Marcellan, F.1    Maroni, P.2
  • 17
    • 0005825078 scopus 로고
    • Differential equations for classical type orthogonal polynomials
    • Marcellan, F., and Ronveaux, A., 1989. Differential equations for classical type orthogonal polynomials. Canad. Math. Bull, 32 (4): 404-411.
    • (1989) Canad. Math. Bull , vol.32 , Issue.4 , pp. 404-411
    • Marcellan, F.1    Ronveaux, A.2
  • 25
    • 38149146337 scopus 로고
    • Spectral Properties of solutions of hypergeometric-type differential equations
    • Zarzo, A., and Dehesa, J. S., 1994. Spectral Properties of solutions of hypergeometric-type differential equations. J. Comput. Appl. Math., 50: 613-623.
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 613-623
    • Zarzo, A.1    Dehesa, J.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.