Some new properties of generalized \((p,q)\)-numbers and generating functions for certain products
Authors
N. Saba
- LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.
A. Boussayoud
- LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.
K. V. V. Kanuri
- 3669 Leatherwood Dr, Frisco, TX 75033, USA.
Abstract
In this paper, we first give some new results and properties on the generalized \(( p,q) \)-numbers including explicit formula, negative extension, etc. After that, by using the complete homogeneous
symmetric functions we obtain the new generating functions for the products
of some bivariate polynomials with certain \(( p,q) \)-numbers at positive and negative indices.
Share and Cite
ISRP Style
N. Saba, A. Boussayoud, K. V. V. Kanuri, Some new properties of generalized \((p,q)\)-numbers and generating functions for certain products, Journal of Mathematics and Computer Science, 34 (2024), no. 4, 326--349
AMA Style
Saba N., Boussayoud A., Kanuri K. V. V., Some new properties of generalized \((p,q)\)-numbers and generating functions for certain products. J Math Comput SCI-JM. (2024); 34(4):326--349
Chicago/Turabian Style
Saba, N., Boussayoud, A., Kanuri, K. V. V.. "Some new properties of generalized \((p,q)\)-numbers and generating functions for certain products." Journal of Mathematics and Computer Science, 34, no. 4 (2024): 326--349
Keywords
- Generalized \((p,q) \)-numbers
- bivariate Mersenne polynomials
- bivariate Mersenne Lucas polynomials
- complete homogeneous symmetric functions
- generating functions
- explicit formula
MSC
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