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Some expansion formulas for Brenke polynomial sets.
- Source :
- Integral Transforms & Special Functions; Sep2024, Vol. 35 Issue 9, p421-436, 16p
- Publication Year :
- 2024
-
Abstract
- In this paper, using operational rules, we derive some explicit expansion formulas associated with Brenke type polynomials. In particular, the corresponding connection and linearization coefficients are expressed either in terms of double sums or integral representations or sometimes in closed hypergeometric terms. The derived results are applied to Generalized Gould–Hopper and q-Laguerre polynomials. Some well-known duplication and convolution formulas are deduced as particular cases. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTEGRAL representations
GENERATING functions
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 35
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 178971600
- Full Text :
- https://doi.org/10.1080/10652469.2024.2334056