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math.CO2008
On the Combinatorics of the Boros-Moll Polynomials
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu
The Boros-Moll polynomials arise in the evaluation of a quartic integral. The original double summation formula does not imply the fact that the coefficients of these polynomials a…
math.CO2008
Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu +1
Using the bijection between partitions and vacillating tableaux, we establish a correspondence between pairs of noncrossing free Dyck paths of length and noncrossing partition…