Geodesic
Some binomial identities related to the Catalan triangles and the halves of the Pascal matrix
Filomat, Tome 37 (2023) no. 20, p. 6917

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DOI

In this paper, five binomial sums with two additional parameters are shown to be equipollent by using the Riordan array method and the generalized Catalan matrices, as well as the halves of the Pascal matrix.
DOI : 10.2298/FIL2320917Y
Classification : 05A05, 05A15, 05A10, 15A09, 15A36
Keywords: Riordan array, Generating function, Pascal matrix, Fuss-Catalan numbers, Generalized Catalan matrix 
Lin Yang; Sheng-Liang Yang. Some binomial identities related to the Catalan triangles and the halves of the Pascal matrix. Filomat, Tome 37 (2023) no. 20, p. 6917 . doi: 10.2298/FIL2320917Y
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     author = {Lin Yang and Sheng-Liang Yang},
     title = {Some binomial identities related to the {Catalan} triangles and the halves of the {Pascal} matrix},
     journal = {Filomat},
     pages = {6917 },
     year = {2023},
     volume = {37},
     number = {20},
     doi = {10.2298/FIL2320917Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320917Y/}
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