Geodesic
Constructing pseudo-involutions in the Riordan group
Journal of integer sequences, Tome 20 (2017) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Involutions and pseudo-involutions in the Riordan group are interesting because of their numerous applications. In this paper we study involutions using sequence characterizations of the Riordan arrays. For a given $B$-sequence we find the unique function $f(z)$ such that the array $(g(z), f (z))$ is a pseudo-involution. As a combinatorial application, we find the interpretation of each entry in the Bell array $(g(z),f(z))$ with a given $B$-sequence.
Classification : 05A15
Keywords: pseudo-involution, Riordan group, B-sequence, PI tree 
@article{JIS_2017__20_4_a4,
     author = {Phulara, Dev and Shapiro, Louis},
     title = {Constructing pseudo-involutions in the {Riordan} group},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a4/}
}
TY  - JOUR
AU  - Phulara, Dev
AU  - Shapiro, Louis
TI  - Constructing pseudo-involutions in the Riordan group
JO  - Journal of integer sequences
PY  - 2017
VL  - 20
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a4/
LA  - en
ID  - JIS_2017__20_4_a4
ER  - 
%0 Journal Article
%A Phulara, Dev
%A Shapiro, Louis
%T Constructing pseudo-involutions in the Riordan group
%J Journal of integer sequences
%D 2017
%V 20
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a4/
%G en
%F JIS_2017__20_4_a4
Phulara, Dev; Shapiro, Louis. Constructing pseudo-involutions in the Riordan group. Journal of integer sequences, Tome 20 (2017) no. 4. http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a4/