TY  - Type of reference 
TI  - Une nouvelle géneralisation des nombres de Genocchi et  conséquence sur les polynômes de Bernoulli 
AU  - Bakir Farhi 
AB  - This paper presents a new generalization of the Genocchi numbers and the Genocchi theorem. As consequences, we obtain some important families of integer-valued polynomials those are closely related to the Bernoulli polynomials. Denoting by $$${(B_n)}_{n \in \mathbb{N}}$$$ the sequence of the Bernoulli numbers and by $$${(B_n(X))}_{n \in \mathbb{N}}$$$ the sequence of the Bernoulli polynomials, we especially obtain that for any natural number $$$n$$$, the reciprocal polynomial of the polynomial $$$\big(B_n(X) - B_n\big)$$$ is integer-valued. 
DO  - 10.21494/ISTE.OP.2022.0886 
JF  - Avancées en Mathématiques Pures et Appliquées 
KW  - Genocchi numbers,  Bernoulli numbers,  Bernoulli polynomials,  formal power series,  integer-valued polynomials, Genocchi numbers,  Bernoulli numbers,  Bernoulli polynomials,  formal power series,  integer-valued polynomials,  
L1  - http://openscience.fr/IMG/pdf/iste_apam22v13n4_2.pdf 
LA  - fr 
PB  - ISTE OpenScience 
DA  - 2022/10/21 
SN  - 1869-6090 
TT  - A new generalization of the Genocchi numbers and its consequence on the Bernoulli polynomials 
UR  - http://openscience.fr/Une-nouvelle-generalisation-des-nombres-de-Genocchi-et-consequence-sur-les 
IS  - Numéro 4 (Septembre 2022) 
VL  - 13 
ER  -