11 papers
Some composition determinants
J. M. Brunat, C. Krattenthaler, A. Lascoux +1
We compute two parametric determinants in which rows and columns are indexed by compositions, where in one determinant the entries are products of binomial coefficients, while in t…
-Identities related to overpartitions and divisor functions
Amy M. Fu, Alain Lascoux
We generalize and prove conjectures of Corteel and Lovejoy, related to overpartitions and divisor functions.
Partition Analysis and Symmetrizing Operators
Amy M. Fu, Alain Lascoux
Using a symmetrizing operator, we give a new expression for the Omega operator used by MacMahon in Partition Analysis, and given a new life by Andrews and his coworkers. Our result…
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.
Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters
F. Hivert, A. Lascoux, J. -Y. Thibon
We define two-parameter families of noncommutative symmetric functions and quasi-symmetric functions, which appear to be the proper analogues of the Macdonald symmetric functions i…
About Division by 1
Alain Lascoux
The Euclidean division of two formal series in one variable produces a sequence of series that we obtain explicitly, remarking that the case where one of the two initial series is…