Geodesic
Comparing two matrices of generalized moments defined by continued fraction expansions
Journal of integer sequences, Tome 17 (2014) no. 5
We study two matrices $N$ and $M$ defined by the parameters of equivalent $S$- and $J$-continued fraction expansions, and compare them by examining the product $N^{-1}M$. Using examples based on the Catalan numbers, the little Schröder numbers, and powers of $q$, we indicate that this matrix product is an object worthy of study. In the case of the little Schröder numbers, we find that the matrix $N$ has an interleaved structure based on two Riordan arrays.
Classification : 15B36, 11B83, 15A09, 30B70, 42C05
Keywords: matrix, Stieltjes continued fraction, Jacobi continued fraction, orthogonal polynomials, production matrix, Riordan array, Hankel transform (Concerned with sequences and ) 16 
@article{JIS_2014__17_5_a4,
     author = {Barry,  Paul},
     title = {Comparing two matrices of generalized moments defined by continued fraction expansions},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {5},
     zbl = {1288.15039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_5_a4/}
}
TY  - JOUR
AU  - Barry,  Paul
TI  - Comparing two matrices of generalized moments defined by continued fraction expansions
JO  - Journal of integer sequences
PY  - 2014
VL  - 17
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/JIS_2014__17_5_a4/
LA  - en
ID  - JIS_2014__17_5_a4
ER  - 
%0 Journal Article
%A Barry,  Paul
%T Comparing two matrices of generalized moments defined by continued fraction expansions
%J Journal of integer sequences
%D 2014
%V 17
%N 5
%U http://geodesic.mathdoc.fr/item/JIS_2014__17_5_a4/
%G en
%F JIS_2014__17_5_a4
Barry,  Paul. Comparing two matrices of generalized moments defined by continued fraction expansions. Journal of integer sequences, Tome 17 (2014) no. 5. http://geodesic.mathdoc.fr/item/JIS_2014__17_5_a4/