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Article
Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials
Journal of Computational Analysis and Applications (2011)
  • Tian-Xiao He, Illinois Wesleyan University
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.

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.
Publication Date
Spring May, 2011
Publisher Statement
The Journal of Computational Analysis and Applications is published by Springer, http://link.springer.com/journal/10819.
Citation Information
Tian-Xiao He. "Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials" Journal of Computational Analysis and Applications Vol. 13 Iss. 4 (2011)
Available at: http://works.bepress.com/tian_xiao_he/60/