Results 121 to 130 of about 18,619 (166)
Some of the next articles are maybe not open access.
Coincidences of Catalan and q-Catalan Numbers
Integers, 2011AbstractLet
Luca, Florian, Young, Paul Thomas
openaire +2 more sources
Binomial sums involving Catalan numbers
Rocky Mountain Journal of Mathematics, 2021The authors evaluate several binomial sums involving Catalan numbers in closed forms using a hypergeometric series approach, especially by means of the summation theorems of Gauss, Kummer and Dixon.
Kılıç, Emrah, Chu, Wenchang
openaire +3 more sources
2015
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas.
openaire +1 more source
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas.
openaire +1 more source
2015
The most important special case of Dyck words comes when \( a=b \) so that the words have the same number of dominant and nondominant letters. A slight variation on these Dyck words is ballot , which we also define here for completeness.
openaire +1 more source
The most important special case of Dyck words comes when \( a=b \) so that the words have the same number of dominant and nondominant letters. A slight variation on these Dyck words is ballot , which we also define here for completeness.
openaire +1 more source
Catalan Numbers and Permutations
2015We turn now to a vast subject called that is currently the subject of much research. Let S n denote the set of all permutations of [n].
openaire +1 more source