Article
Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials
Journal of Computational Analysis and Applications
(2011)
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.
Disciplines
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/