Factorization of polynomials according to a method of Zassenhaus'
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Factorization formulas for Macdonald polynomials
The aim of this note is to give some factorization formulas for different versions of the Macdonald polynomials when the parameter t is specialized at roots of unity, generalizing those given in [A. Lascoux, B. Leclerc, J.-Y. Thibon, Green polynomials ...
Differential equation of Appell polynomials via the factorization method
Let {Pn(x)}n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential operators Φn and Ψn satisfying the following properties: Φn(Pn(x)) = Pn-1(x), Ψn(Pn(x)) = Pn+1(x). By constructing these two operators for Appell ...
Strong factorization property of Macdonald polynomials and higher-order Macdonald's positivity conjecture
We prove a strong factorization property of interpolation Macdonald polynomials when q tends to 1. As a consequence, we show that Macdonald polynomials have a strong factorization property when q tends to 1, which was posed as an open question in our ...
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Association for Computing Machinery
New York, NY, United States
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