Rook Theory and Hypergeometric Series

  title={Rook Theory and Hypergeometric Series},
  author={James Haglund},
The number of ways of placing k non-attacking rooks on a Ferrers board is expressed as a hypergeometric series, of a type originally studied by Karlsson and Minton. Known transformation identities for series of this type translate into new theorems about rook polynomials. 
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