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 language | American English |
|---|---|
| Journal | Journal of Computational Analysis and Applications |
| Volume | 13 |
| State | Published - May 2011 |
Keywords
- Chebyshev polynomial
- Dickson polynomial of the second kind
- Fermat polynomial
- Generalized Gegenbauer-Humbert polynomial sequence
- Legendre polynomial
- Morgan-Voyc polynomial
- Sheffer-type polynomial sequence
- and Laguerre polynomial
- measures
- supports.
Disciplines
- Applied Mathematics
- Mathematics