Real-rooted polynomials via generalized Bell umbra

Abdelkader Benyattou and Miloud Mihoubi
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 2, Pages 136-144
DOI: 10.7546/nntdm.2019.25.2.136-144
Full paper (PDF, 196 Kb)

Details

Authors and affiliations

Abdelkader Benyattou
Faculty of Mathematics, USTHB, RECITS Laboratory
P. O. 32 Box 32, El Alia 16111, Algiers, Algeria

Miloud Mihoubi
Faculty of Mathematics, USTHB, RECITS Laboratory
P. O. 32 Box 32, El Alia 16111, Algiers, Algeria

Abstract

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 are considered. Our results are illustrated by some comprehensive examples.

Keywords

• Polynomials with real zeros
• Generalized Bell umbra
• Partition polynomials

2010 Mathematics Subject Classification

• 11B73
• 30C15

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