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10 results on '"TAHARBOUCHET, SAID"'

1. Polynomials with real zeros via special polynomials

Author

Mihoubi, Miloud and Taharbouchet, Said

Subjects
Mathematics, QA1-939
Abstract

In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials.

Published
2021
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2. Some identities involving Appell polynomials

Author

Mihoubi, Miloud and Taharbouchet, Said

Subjects
Mathematics - Number Theory, 05A40, 11B66, 70H03
Abstract

In this papier, by the classical umbral calculus method, we establish identities involving the Appell polynomials and extend some existing identities., Comment: 10 pages

Published
2017

3. Identities and congruences involving the Fubini polynomials

Author

Mihoubi, Miloud and Taharbouchet, Said

Subjects
Mathematics - Number Theory, 05A18, 05A40, 11A07
Abstract

In this paper, we investigate the umbral representation of the Fubini polynomials $F_{x}^{n}:=F_{n}(x)$ to derive some properties involving these polynomials. For any prime number $p$ and any polynomial $f$ with integer coefficients, we show $(f(F_{x}))^{p}\equiv f(F_{x})$ and we give other curious congruences., Comment: 12 pages

Published
2017

4. Geometric polynomials via a differential operator.

Author

Taharbouchet, Said and Mihoubi, Miloud

Subjects
*DIFFERENTIAL operators, *POLYNOMIALS, *HERMITE polynomials
Abstract

AbstractIn this paper, we use differential operator to present new identities and provide alternative proofs for certain established identities related to geometric polynomials. Additionally, by using the differential operator associated with geometric polynomials, Rolle’s theorem and a theorem of Wang and Yeh, we present some results on the real rootedness of polynomials. [ABSTRACT FROM AUTHOR]

Published
2024
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6. The multiset partitions and the generalized Stirling numbers

Author

Mihoubi, Miloud, Rahim, Asmaa, and Taharbouchet, Said

Abstract

By counting on the multiset partitions, we give in this paper a combinatorial interpretation of a class of the generalized Stirling numbers generalizing the Stirling, r-Stirling, Jacobi–Stirling, r-Jacobi–Stirling and two classes of p-Stirling numbers of the second kind.

Published
2024
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9. Polynomials with real zeros via special polynomials.

Author

Mihoubia, Miloud and Taharbouchet, Said

Subjects
*HERMITE polynomials
Abstract

In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials. To cite this article: M. Mihoubi and S. Taharbouchet, C. R. Acad. Sci. Paris, Ser. I 340 (2021). [ABSTRACT FROM AUTHOR]

Published
2021
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10. Some identities involving Appell polynomials.

Author

Mihoubi, Miloud and Taharbouchet, Said

Subjects
*POLYNOMIALS, *CALCULUS
Abstract

In this paper, by the classical umbral calculus method, we establish identities involving the Appell polynomials and extend some existing identities. [ABSTRACT FROM AUTHOR]

Published
2020
Full Text
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