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ON GENERALIZED HUMBERT MATRIX POLYNOMIALS.
- Source :
-
Miskolc Mathematical Notes . 2014, Vol. 15 Issue 2, p509-524. 16p. - Publication Year :
- 2014
-
Abstract
- Aktaş et. al. in [3] introduced the generalized Humbert matrix polynomials (G-HMP) PnA (m;x;y;c). In this paper we focus on some properties of these matrix polynomials such as matrix recurrence relations, matrix differential equation and an integral representation. We introduce generalized forms of operational rules associated with operators corresponding to a G-HMP expansions. Moreover, we obtain a series transformation formula involving Gegenbauer matrix polynomials. Then we provide a number of applications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 15
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 100604624
- Full Text :
- https://doi.org/10.18514/MMN.2014.1155