Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902935 | Discrete Mathematics | 2018 | 18 Pages |
Abstract
We derive combinatorial identities for variables satisfying specific systems of commutation relations, in particular elliptic commutation relations. The identities thus obtained extend corresponding ones for q-commuting variables x and y satisfying yx=qxy. In particular, we obtain weight-dependent binomial theorems, functional equations for generalized exponential functions, we derive results for an elliptic derivative of elliptic commuting variables, and finally study weight-dependent extensions of the Weyl algebra which we connect to rook theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Michael J. Schlosser, Meesue Yoo,