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Applicable Analysis
An International Journal
Volume 74, 2000 - Issue 3-4
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Original Articles

Delta perturbation of a moment functional

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Pages 463-477 | Published online: 02 May 2007

References

  • Álvarez-Nodarse , R. , Arvesú , J. , Kwon , K.H. and Marcellán , F. 1998 . Some extension of the Bessel-type orthogonal polynomials . Integral transforms and special functions , 7 : 191 – 214 .
  • Á-Nodarse , R. and Marcellán , F. 1995 . A generalization of the classical Laguerre Polynomials . Rend. Circ. Mat. Palermo , 44 : 3105 – 329 .
  • Aacute;lvarez-Nodarse , R. and Marcellán , F. 1996 . A generalization of the classical Laguerre Polynomials: Asymptotic properties and zeros . Appl. Analysis , 62 : 349 – 366 .
  • Belmehdi , S.L. and Marcellán , F. 1992 . Orthogonal polynomials associated to some modifications of a linear functional . Appl. Analysis , 46 ( 1 ) : 1 – 24 .
  • Bernardi , C. and Maday , Y. 1991 . “ Some spectral approximation of one dimensional fourth order problems ” . In Progress in Approximation theory Edited by: Nevai , P. , Pinkus , A. and San Diego , Ap . 43 – 116 .
  • Chihara , T.S. “ An introduction to Orthogonal Polynomials ” .
  • Chihara , T.S. 1985 . Orthogonal polynomials and measures with end point masses . Rockt. Mt. J. Math , 15 ( 3 ) : 705 – 719 .
  • Draïdi , N. and Maroni , P. 1989 . “ Sur l'adjonction de deux masses de Dirac á une forme régulièe quelconque. in polinomios Ortogonales y Sus Applicaciones ” . In Univ. de Vigo Edited by: Cachafeiro , A. and Godoy , E. 83 – 90 .
  • Gonchar , A.A. 1975 . On the convergence of Padé approximants for some classes of meromorphic functions . Mat. Sb , 97 : 607 – 629 .
  • Hendrikson , E. 1984 . A Bessel type Orthogonal Polynomial system . Indag. Math , 46 : 407 – 414 .
  • Koornwinder , T.H. 1984 . Orthogonal polynomials with weight function 1−x;α1−x;з+M∂̸x−1+N∂̸x+1 . Canad. Math.Bull , 27 ( 2 ) : 205 – 214 .
  • Krall , A.M. 1981 . On orthogonal polynomials satisfying a certain fourth order differential equation . Proc. Roy. Soc. Edinb , 87 ( A ) : 171 – 288 .
  • Krall , H.L. 1940 . On orthogonal polynomials satisfying a certain fourth order differential equation, the Penn. State college Studies . The Penn. State College, State College. Pa , 6
  • Kwon , K.H. and Park , S.B. 1997 . Two point masses perturbation of quasi-definite moment functionals . Indag. Math, N.S , 8 : 79 – 93 .
  • Lopez , G. 1989 . Convergence of padé approximants of Stieltjes type meromorphic functions and comparative asymptotic for orthogonal polynomials . Math. USSR Sb , 64 : 207 – 227 .
  • Magnus , A. 1988 . “ Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials ” . In Orthogonal Polynomials and their applocations Edited by: Alfaro et al , M. Vol. 1329 , 261 – 278 . Springer-Verlag, Berlin
  • Marcellán , F. and Maroni , P. 1992 . Sur l'adjonction d'une masse de Dirac à une forme régulière et semi-classique . Ann. Mat. Pure ed Appl , 4 ( 162 ) : 1 – 22 .
  • Maroni , P. 1987 . Prolégomènes à l'étude des polynômes orthogonaux semi-classques . Ann. Mat. Pura ed Appl , 4 ( 169 ) : 165 – 184 .
  • Maroni , P. 1995 . An introduction to second degree forms . Adv.Comput. math , 3 ( 169 ) : 59 – 88 .
  • Maroni , P. 1993 . Variations around classical orthogonal polynomials. Connected problems . J.Comp.Appl.Math , 48 : 133 – 155 .
  • Maroni , P. 1990 . Sur la suite des polynˆmes orthogonaux associée à la forme u=∂̸c+λx−-1L . Period. Math. Hung , 21 : 223 – 248 .
  • Zhadanov , A. 1997 . Rational spectral transformation and orthogonal polynomials . J. Comp. Appl. Math , 85 : 67 – 86 .

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