Geodesic
An Operational Approach to the Generalized Rencontres Polynomials
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 461 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper, we study the umbral operators $ J $, $ M $ and $ N $ associated with the generalized rencontres polynomials $ D_n^{(m)}(x) $. We obtain their representations in terms of the differential operator $ \D_x $ and the shift operator $ E $. Then, by using these representations, we obtain some combinatorial and differential identities for the generalized rencontres polynomials. Finally, we extend these results to some related polynomials and, in particular, to the generalized permutation polynomials $ P_n^{(m)}(x) $ and the generalized arrangement polynomials $ A_n^{(m)}(x) $.
Classification : 05A19, 05A40, 05A15, 15A04
Keywords: umbral operator, Sheffer sequence, Appell sequence 
@article{KJM_2022_46_3_a9,
     author = {Emanuele Munarini},
     title = {An {Operational} {Approach} to the {Generalized} {Rencontres} {Polynomials}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {461 },
     year = {2022},
     volume = {46},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a9/}
}
TY  - JOUR
AU  - Emanuele Munarini
TI  - An Operational Approach to the Generalized Rencontres Polynomials
JO  - Kragujevac Journal of Mathematics
PY  - 2022
SP  - 461 
VL  - 46
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a9/
LA  - en
ID  - KJM_2022_46_3_a9
ER  - 
%0 Journal Article
%A Emanuele Munarini
%T An Operational Approach to the Generalized Rencontres Polynomials
%J Kragujevac Journal of Mathematics
%D 2022
%P 461 
%V 46
%N 3
%U http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a9/
%G en
%F KJM_2022_46_3_a9
Emanuele Munarini. An Operational Approach to the Generalized Rencontres Polynomials. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 461 . http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a9/