Relation Between Polynomials Orthogonal with Respect to a Class of Gaussian Weight Functions
Copyright policy )Relation Between Polynomials Orthogonal with Respect to a Class of Gaussian Weight Functions
Polynomials of a three-dimensional vector x, orthogonal with respect to a weight function ~exp( -tx2) and expressed in spherical polar coordinates, are called Burnett functions. The matrix relating the Burnett functions of x = IX(C- W) to those of c is constructed for the case where IX is a real nonsingular 3 x 3 matrix and W is a real vector. These matrices are infinite dimensional, block lower triangular representations of the group whose elements (IX, W) satisfy the composition law
- Australian National University Australia
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Kinetic theory of gases in equilibrium statistical mechanics, Burnett functions
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Kinetic theory of gases in equilibrium statistical mechanics, Burnett functions
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