Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2026 19 (3)
- Authors
- Azzouni, Faiza; Bencherif, Farid; Khaldi, Laala
- Contact information
- Azzouni, Faiza: LA3C Laboratory, Faculty of Mathematics USTHB, (Algiers, Algeria); ; Bencherif, Farid: LA3C Laboratory, Faculty of Mathematics USTHB, (Algiers, Algeria); ; Khaldi, Laala: LIM Laboratory, Department of Mathematics University of Bouira 10000 (Bouira, Algeria);
- Keywords
- Bernoulli polynomial; Bernoulli number; binomial coefficient; Stirling number of the second kind
- Abstract
Let ℓ be a positive integer. In this paper, we prove a new explicit formula for the generalized Bernoulli polynomials of order ℓ. This formula generalizes many known identities for the Bernoulli polynomials. Our main tools are linear operators
- Pages
- 391–398
- EDN
- UBDPFK
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/158228
Journal of Siberian Federal University. Mathematics & Physics / New Explicit Formula for Generalized Bernoulli Polynomials
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