论文信息 - The Algebra of Linear Partial Difference Operators and Its Applications

The Algebra of Linear Partial Difference Operators and Its Applications

The algebra of linear partial difference operators is investigated, and an elimination procedure demonstrated. Applications to combinatorics are given. In particular, a new proof and a q-analogue of MacMahon’s Master Theorem are given.

Doron Zeilberger | D. Zeilberger

[1] F. Dyson. Statistical Theory of the Energy Levels of Complex Systems. I , 1962 .

[2] I. J. Good. Short Proof of a Conjecture by Dyson , 1970 .

[3] J. Shaw. Combinatory Analysis , 1917, Nature.

[4] L. Hörmander. Linear Partial Differential Operators , 1963 .

[5] J. Gunson,et al. Proof of a Conjecture by Dyson in the Statistical Theory of Energy Levels , 1962 .