The Combinatorics of Associated Laguerre Polynomials
Copyright policy )The Combinatorics of Associated Laguerre Polynomials
The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum is provided using only the moment generating function.
- University of Minnesota Morris United States
- Sungkyul University Korea (Republic of)
- Sungkyunkwan University Korea (Republic of)
- University of Minnesota Crookston United States
- University of Minnesota System United States
05A19, associated Laguerre polynomial, Combinatorial aspects of representation theory, Exact enumeration problems, generating functions, FOS: Mathematics, permutation tableau, Mathematics - Combinatorics, Combinatorics (math.CO), moment of orthogonal polynomials
05A19, associated Laguerre polynomial, Combinatorial aspects of representation theory, Exact enumeration problems, generating functions, FOS: Mathematics, permutation tableau, Mathematics - Combinatorics, Combinatorics (math.CO), moment of orthogonal polynomials
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