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20022009
most citedSome extensions of the uncertainty principle

81 citations

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math.CO2002

A new family of positive integers

Michel Lassalle

Let n,p,k be three positive integers. We prove that the numbers binomial (n,k) 3F2 (1-k, -p, p-n ; 1, 1-n ; 1) are positive integers which generalize the classical binomial coeffic…

math.CO2002

q-Identities from Lagrange and Newton Interpolation

Amy M. Fu, Alain Lascoux

Combining Newton and Lagrange interpolation, we give -identities which generalize results of Van Hamme, Uchimura, Dilcher and Prodinger.

math.CO2002★ 12 cited

An analogue of the plactic monoid for binary search trees

Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon

We introduce a monoid structure on a certain set of labelled binary trees, by a process similar to the construction of the plactic monoid. This leads to a new interpretation of the…