Kibble–Slepian formula
Encyclopedia
In mathematics, the Kibble–Slepian formula, introduced by and , expresses the exponential of a quadratic form in terms of Hermite polynomials
, generalizing Mehler's formula to several variables.
Hermite polynomials
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical analysis as Gaussian quadrature; and in physics, where...
, generalizing Mehler's formula to several variables.