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Properties and Graphical Representations of the 2-Variable Form of the Simsek Polynomials
- Source :
- Vietnam Journal of Mathematics; 20240101, Issue: Preprints p1-15, 15p
- Publication Year :
- 2024
-
Abstract
- This article is written with an objective to introduce the 2-variable Simsek polynomials Yn(x,y;λ,δ) and to investigate some properties of these polynomials. The 2-variable forms of Changhee and Daehee polynomials are also considered. Several important recurrence relations involving the Cauchy, Changhee, Daehee and Simsek numbers are derived. The hypergeometric function representation for an integral involving these polynomials is obtained. The graphical representations of the 2-variable Simsek polynomials are considered for suitable values of the index nand parameters λand δ. The article is concluded with the derivation of non-linear differential equation and related identity for the Simsek numbers.
Details
- Language :
- English
- ISSN :
- 2305221X and 23052228
- Issue :
- Preprints
- Database :
- Supplemental Index
- Journal :
- Vietnam Journal of Mathematics
- Publication Type :
- Periodical
- Accession number :
- ejs55238323
- Full Text :
- https://doi.org/10.1007/s10013-020-00472-6