Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials

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Abstract

We present characterizations of the orthogonal generalized Gegen-bauer-Humbert polynomial sequences and the orthogonal Sheffer-type polynomial sequences. Using a new polynomial sequence transformation technique presented in [12], we give a method to evaluate the measures and their supports of some orthogonal generalized Gegenbauer-Humbert polynomial sequences.

Original languageAmerican English
JournalJournal of Computational Analysis and Applications
Volume13
StatePublished - May 2011

Keywords

  • Generalized Gegenbauer-Humbert polynomial sequence
  • Sheffer-type polynomial sequence
  • Chebyshev polynomial
  • Legendre polynomial
  • Morgan-Voyc polynomial
  • Fermat polynomial
  • Dickson polynomial of the second kind
  • and Laguerre polynomial
  • measures
  • supports.

Disciplines

  • Applied Mathematics
  • Mathematics

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