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Original Articles

On Polynomial Eigenfunctions of a Hypergeometric-Type Operator

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Pages 609-618 | Published online: 04 Apr 2012

REFERENCES

  • Arnol'd , V. I. 1982 . “The Newton potential of hyperbolic layers” . Trudy Tbiliss. Univ. , 232/233 : 23 – 29 . [Arnol'd 1982], In Russian
  • Arnol'd , V. I. 1986 . “Hyperbolic polynomials and Vandermonde mappings” . Funktsional. Anal, i Prilozhen. , 20 ( 2 ) : 52 – 53 . [Arnol'd 1986], In Russian; translated in Fund. Anal. Appl 20:2 (1986), 125–128
  • Bergkvist , T. and Rullgård , H. 2001 . “On polynomial eigenfunctions for a class of differential operators” Univ. of Stockholm. . [Bergkvist and Rullgård 2001], preprint 13, See http://matematik.su.se/reports/2001/13. Submitted to Math. Res. Letters.
  • Chihara , T. S. 1978 . An introduction to orthogonal polynomials New York : Gordon and Breach. . [Chihara 1978], Math, and its Appl. 13
  • Coddington , E. A. and Levinson , N. 1955 . Theory of ordinary differential equations New York : McGraw-Hill. . [Coddington and Levinson 1955]
  • Kostov , V. P. 1989 . “On the geometric properties of Vandermonde's mapping and on the problem of moments” . Proc. Roy. Soc. Edinburgh Sect. A , 112 ( 3–4 ) : 203 – 211 . [Kostov 1989]
  • Kostov , V. P. 1999 . “On the hyperbolicity domain of the polynomial xn + a1xn–1 + … + an“ . Serdica Math. J. , 25 ( 1 ) : 47 – 70 . [Kostov 1999]
  • Nevai , P. G. 1979 . Orthogonal polynomials Providence , RI : Amer. Math. Soc. . [Nevai 1979], Mem. Amer. Math. Soc. 213
  • Nuij , W. 1968 . “A note on hyperbolic polynomials” . Math. Scand. , 23 : 69 – 72 . [Nuij 1968]
  • Pólya , G. and Szegő , G. 1976 . Problems and theorems in analysis, II: Theory of functions, zeros, polynomials, determinants, number theory, geometry New York : Springer. . [Pólya and Szegő 1976], Grundlehren der Math. Wissenschaften 216
  • Shapiro , H. 2000 . “Spectral aspects of a class of differential operators” [Shapiro 2000], preprint, Submitted to the Proceedings of Sonya Kovalevsky Conference
  • Wasow , W. 1985 . Linear turning point theory New York : Springer. . [Wasow 1985], Appl. Math. Sci. 54

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