4 papers
math.CA2005
Semi-Finite Forms of Bilateral Basic Hypergeometric Series
William Y. C. Chen, Amy M. Fu
We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformatio…
math.CO2004
-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.
math.CO2004
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…
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.