Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (2)
- Authors
- Khaldi, Laala; Bencherif, Farid; Derbal, Abdallah
- Contact information
- Khaldi, Laala: University of Bouira Bouira, Algeria EDPNL&HM Laboratory, ENS Kouba, Algeria; OCRID: 0000-0001-8953-521X; Bencherif, Farid: Faculty of Mathematics USTHB, LA3C Algiers, Algeria; ; Derbal, Abdallah: EDPNL&HM Laboratory, ENS Kouba, Algeria;
- Keywords
- Appell polynomial; Bernoulli polynomial; binomial coefficients; combinatorial identities
- Abstract
For r 2 { 1; - 1; 1 2 } , we prove several explicit formulas for the n-th Bernoulli polynomial Bn (x), in which Bn (x) is equal to a linear combination of the polynomials xn, (x + r)n ; : : : ; (x + rm)n, where m is any fixed positive integer greater than or equal to n
- Pages
- 224–233
- DOI
- 10.17516/1997-1397-2022-15-2-224-233
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/145180
Journal of Siberian Federal University. Mathematics & Physics / A Note on Explicit Formulas for Bernoulli Polynomials
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