combinatorial mathematics, a rook polynomial is a generating polynomial of the number of ways to place non-attacking rooks on a board that looks like a...

to calculate the highest coefficient of a rook polynomial in terms of the coefficients of the rook polynomial of the complementary board. Without loss...

Rogers–Szegő polynomials Rook polynomial Schur polynomials Shapiro polynomials Sheffer sequence Spread polynomials Tricomi–Carlitz polynomials Touchard polynomials...

_{0}^{\infty }f(x)g(x)e^{-x}\,dx.} The rook polynomials in combinatorics are more or less the same as Laguerre polynomials, up to elementary changes of variables...

polynomials Lucas polynomials Spread polynomials Touchard polynomials Rook polynomials Polynomial sequences of binomial type Orthogonal polynomials Secondary...

The first type of matching polynomial is a direct generalization of the rook polynomial. The second type of matching polynomial has remarkable connections...

Alternating sign matrix Exchange matrix Generalized permutation matrix Rook polynomial Permanent Artin, Michael (1991). Algebra. Prentice Hall. pp. 24–26...

puzzle. Mathematical game Mathematical puzzle No-three-in-line problem Rook polynomial Costas array The number of combinations of 8 squares from 64 is the...

mathematics, which can be understood using a combinatorial tool called a rook polynomial. The probability of winning the game has been determined exactly, and...

enumeration problems in combinatorics and encoding their solutions. Rook polynomials are an example of an application in combinatorics. Evaluate infinite...