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math.CO2018
Elements of the q-Askey scheme in the algebra of symmetric functions
Cesar Cuenca, Grigori Olshanski
The classical q-hypergeometric orthogonal polynomials are assembled into a hierarchy called the q-Askey scheme. At the top of the hierarchy, there are two closely related families,…
math.CO2013★ 1 cited
Laurent Phenomenon Sequences
Joshua Alman, Cesar Cuenca, Jiaoyang Huang
In this paper, we undertake a systematic study of recurrences x_{m+n}x_{m} = P(x_{m+1}, ..., x_{m+n-1}) which exhibit the Laurent phenomenon. Some of the most famous among these se…