Abdelkader Benyattou

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 28, 2022, Number 4, Pages 719–729

DOI: 10.7546/nntdm.2022.28.4.719-729

**Full paper (PDF, 193 Kb)**

## Details

### Authors and affiliations

Abdelkader Benyattou

*Department of Mathematics and Informatics, Ziane Achour University of Djelfa, Algeria
RECITS Laboratory, P.O.Box 32, El Alia 16111, Algiers, Algeria*

### Abstract

In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.

### Keywords

- Bell polynomials
- Appell polynomials
- Congruences
- Umbral calculus

### 2020 Mathematics Subject Classification

- 11B83
- 11B73
- 11A07
- 05A40

### References

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### Manuscript history

- Received: 16 February 2022
- Revised: 2 November 2022
- Accepted: 5 November 2022
- Online First: 7 November 2022

## Related papers

- Benyattou, A., & Mihoubi, M. (2019). Real-rooted polynomials via generalized Bell umbra.
*Notes on Number Theory and Discrete Mathematics*, 25(2), 136–144.

## Cite this paper

Benyattou, A. (2022). Congruences via umbral calculus. *Notes on Number Theory and Discrete Mathematics*, 28(4), 719-729, DOI: 10.7546/nntdm.2022.28.4.719-729.