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Original Articles

Classification of all δ-Coherent Pairs

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Pages 1-18 | Received 22 Jun 1998, Published online: 03 Apr 2007

Reference

  • Abramowitz , M. and Stegun , I. 1965 . Handbook of Mathematical Functions , New York : Dover .
  • Álvarez-Nodarse , R. and Marcellán , F. 1997 . Limit relations between generalized orthogonal polynomials . Indag. Math. New Ser. , 8 ( 3 ) : 259 – 316 .
  • Area , I. , Godoy , E. and Marcellán , F. Coherent pairs and orthogonal polynomials of a discrete variable
  • Area , I. , Godoy , E. and Marcellán , F. In press . Inner products involving differences: The Meixner-Sobolev polynomials . Journal of Difference Equations and Applications , 8 ( 3 )
  • Chihara , T.S. 1978 . An Introduction to Orthogonal Polynomials , New York : Gordon and Breach .
  • Garcia , A.G. , Marcellán , F. and Salto , L. 1995 . A distributionals study of discrete classical orthogonal polynomials . J. Comput. Appl. Math. , 57 : 147 – 162 .
  • Iserles , I. , Koch , P.E. , N⊘rsett , S.P. and Sanz-Serna , J.M. 1991 . On polynomials orthogonal with respect to certain Sobolev inner products . J. Approximation Theory , 65 : 151 – 175 .
  • Kanwal , R.P. 1983 . “ Generalized Functions: Theory and Technique ” . In Mathematics in Science and Engineering , Vol. 171 , London : Academic Press .
  • Meijer , H. 1997 . Determination of all coherent pairs . J. Approximation Theory , 89 ( 3 ) : 321 – 343 .
  • Marcellán , F. and Petronilho , J.C. 1995 . Orthogonal polynomials and coherent pairs: the case . Indag. Math. New Ser. , 6 ( 3 ) : 287 – 307 .
  • Marcellán , F. , Petronilho , J.C. , Pérez , T.E. and Piñar , M.A. 1995 . What is beyond coherent pairs of orthogonal polynomials? . J. Comput. Appl. Math. , 65 ( 3 ) : 267 – 277 .
  • Nikiforov , A.F. , Suslov , S.K. and Uvarov , V.B. 1991 . Classical Orthogonal Polynomials of a Discrete Varibale , Berlin : Springer-Verlag .

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