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math.NT2020
A remarkable congruence involving Appell polynomials
Abdelkader Benyattou
In this paper, by the umbral calculus method, we give a remarkable congruence involving Appell polynomials. Some applications on derangement polynomials are also presented.
math.NT2017
Note on the real rootedness of polynomials
Abdelkader Benyattou, Miloud Mihoubi
In this paper, by the generalized Bell umbra and Rolle's theorem, we give some results on the real rootedness of polynomials. Some applications on partition polynomials and the sig…