A convolution for complete and elementary symmetric functions

作者：Merca Mircea^*

来源：Aequationes Mathematicae, 2013, 86(3): 217-229.

DOI：10.1007/s00010-012-0170-x

• Symmetric function
• convolution
• composition
• integer partition
• q-binomial coefficient
• r-Stirling number
• r-Whitney number

In this paper we give a convolution identity for complete and elementary symmetric functions. This result can be used to prove and discover some combinatorial identities involving r-Stirling numbers, r-Whitney numbers and q-binomial coefficients. As a corollary we derive a generalization of the quantum Vandermonde's convolution identity.

• 出版日期2013-12