Abstract
The object of this paper is to present two surprisingly general identities involving the generating functions of the number of inversions between multisets (of not necessarily uniform multiplicities). The first identity is a generalization of the Chu-Vandermonde identity, and the second a well-known identity of Euler. Our proofs are based on a one-to-one correspondence between multisubsets and certain permissible paths in a digraph with monomial weights.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
