Title
Weighted permutation problems and Laguerre polynomials
Abstract
The connection between integrals of products of Laguerre polynomials, power series coefficients of certain rational functions of several variables, and certain numbers of weighted permutation problems is investigated. A combinatorial proof of our main result would be very desirable since this could lead the way to more general result, q-analogs, and perhaps even a q-analog of MacMahon's Master Theorem.
Year
DOI
Venue
1978
10.1016/0097-3165(78)90020-1
Journal of Combinatorial Theory, Series A
Keywords
Field
DocType
laguerre polynomial
Discrete mathematics,Combinatorics,Laguerre's method,Classical orthogonal polynomials,Laguerre polynomials,Permutation,Combinatorial proof,Master theorem,Rational function,Power series,Mathematics
Journal
Volume
Issue
ISSN
25
3
0097-3165
Citations 
PageRank 
References 
11
4.38
0
Authors
3
Name
Order
Citations
PageRank
Richard Askey1114.38
Mourad E. H. Ismail27525.95
Tom Koornwinder3125.34