`meijerG`

Meijer G-function.

Category: Mathematics > Mathematical Functions

Syntax

G = meijerG(a, b, c, d, z)

Evaluates the Meijer G-function with parameter vectors a, b, c, d at z.

Description

The Meijer G-function is a very general special function defined by a contour integral of products of gamma functions. Many familiar functions are special cases. The four vectors split the parameters of the integrand: a and b for the upper ones, c and d for the lower ones, with n = numel(a) and m = numel(c).

The simplest case, meijerG([], [], 0, [], z), equals exp(-z), which is a convenient test.

Input arguments

a: Vector [a1 ... an] of the first group of upper parameters. May be empty [].
b: Vector [a(n+1) ... ap] of the remaining upper parameters.
c: Vector [b1 ... bm] of the first group of lower parameters.
d: Vector [b(m+1) ... bq] of the remaining lower parameters.
z: Argument, scalar or array.

Output arguments

G: Values of the G-function, with the size of z.

Example

The case G = exp(-z)

meijerG([], [], 0, [], [1 2])
exp(-[1 2])

Output

ans = 1×2

    0.3679    0.1353
ans = 1×2

    0.3679    0.1353

meijerG