-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/


-- | Jack, zonal, Schur and skew Schur polynomials
--   
--   This library can evaluate Jack polynomials, zonal polynomials, Schur
--   and skew Schur polynomials. It is also able to compute them in
--   symbolic form.
@package jackpolynomials
@version 1.2.0.0


-- | Evaluation of Jack polynomials, zonal polynomials, Schur polynomials
--   and skew Schur polynomials. See README for examples and references.
module Math.Algebra.Jack

-- | Evaluation of Jack polynomial
jack' :: [Rational] -> Partition -> Rational -> Char -> Rational

-- | Evaluation of zonal polynomial
zonal' :: [Rational] -> Partition -> Rational

-- | Evaluation of Schur polynomial
schur' :: [Rational] -> Partition -> Rational

-- | Evaluation of a skew Schur polynomial
skewSchur' :: [Rational] -> Partition -> Partition -> Rational

-- | Evaluation of Jack polynomial
jack :: forall a. C a => [a] -> Partition -> a -> Char -> a

-- | Evaluation of zonal polynomial
zonal :: C a => [a] -> Partition -> a

-- | Evaluation of Schur polynomial
schur :: forall a. C a => [a] -> Partition -> a

-- | Evaluation of a skew Schur polynomial
skewSchur :: forall a. C a => [a] -> Partition -> Partition -> a

module Math.Algebra.Jack.HypergeoPQ

-- | Inefficient hypergeometric function of a matrix argument (for testing
--   purpose)
hypergeoPQ :: C a => Int -> [a] -> [a] -> [a] -> a


-- | Computation of symbolic Jack polynomials, zonal polynomials, Schur
--   polynomials and skew Schur polynomials. See README for examples and
--   references.
module Math.Algebra.JackPol

-- | Symbolic Jack polynomial
jackPol' :: Int -> Partition -> Rational -> Char -> Spray Rational

-- | Symbolic zonal polynomial
zonalPol' :: Int -> Partition -> Spray Rational

-- | Symbolic Schur polynomial
schurPol' :: Int -> Partition -> Spray Rational

-- | Symbolic skew Schur polynomial
skewSchurPol' :: Int -> Partition -> Partition -> Spray Rational

-- | Symbolic Jack polynomial
jackPol :: forall a. (Eq a, C a) => Int -> Partition -> a -> Char -> Spray a

-- | Symbolic zonal polynomial
zonalPol :: forall a. (Eq a, C a) => Int -> Partition -> Spray a

-- | Symbolic Schur polynomial
schurPol :: forall a. (Ord a, C a) => Int -> Partition -> Spray a

-- | Symbolic skew Schur polynomial
skewSchurPol :: forall a. (Ord a, C a) => Int -> Partition -> Partition -> Spray a


-- | Computation of Jack polynomials with a symbolic Jack parameter. See
--   README for examples and references.
module Math.Algebra.JackSymbolicPol

-- | Jack polynomial with symbolic Jack parameter
jackSymbolicPol' :: Int -> Partition -> Char -> SymbolicQSpray

-- | Jack polynomial with symbolic Jack parameter
jackSymbolicPol :: forall a. (Eq a, C a) => Int -> Partition -> Char -> SymbolicSpray a