Geodesic
Lacunary Laguerre Series from a Combinatorial Perspective
Séminaire lotharingien de combinatoire, Tome 76 (2016-2018) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

Voir la notice de l'acte

In recent work, Babusci, Dattoli, G\'orska, and Penson have presented a number of lacunary generating functions for the generalized Laguerre polynomials Ln(\alpha)(x), i.e., series of the type \sumn >= 0 cn L2n(\alpha)(x) tn, by a method closely related to umbral calculus. This work is complemented here, deriving many of their results by interpreting Laguerre polynomials combinatorially as enumerators for discrete structures (injective partial functions). This combinatorial view pays in that it suggests natural extensions and gives a deeper insight into the known formulas. 

@article{SLC_2016-2018_76_a2,
     author = {Volker Strehl},
     title = {Lacunary {Laguerre} {Series} from a {Combinatorial} {Perspective}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2016-2018},
     volume = {76},
     url = {http://geodesic.mathdoc.fr/item/SLC_2016-2018_76_a2/}
}
TY  - JOUR
AU  - Volker Strehl
TI  - Lacunary Laguerre Series from a Combinatorial Perspective
JO  - Séminaire lotharingien de combinatoire
PY  - 2016-2018
VL  - 76
UR  - http://geodesic.mathdoc.fr/item/SLC_2016-2018_76_a2/
ID  - SLC_2016-2018_76_a2
ER  - 
%0 Journal Article
%A Volker Strehl
%T Lacunary Laguerre Series from a Combinatorial Perspective
%J Séminaire lotharingien de combinatoire
%D 2016-2018
%V 76
%U http://geodesic.mathdoc.fr/item/SLC_2016-2018_76_a2/
%F SLC_2016-2018_76_a2
Volker Strehl. Lacunary Laguerre Series from a Combinatorial Perspective. Séminaire lotharingien de combinatoire, Tome 76 (2016-2018). http://geodesic.mathdoc.fr/item/SLC_2016-2018_76_a2/