# mrpy.base.special¶

Definitions of all special functions used throughout mrpy.

Generally, these are adapted from mpmath, but return standard floats/arrays, and can take array_like input.

Functions

 G1(z, x) The Meijer-G function with specific arguments: meijerg([[], [1, 1]], [[0, 0, z], []], x), normalised by the incomplete gamma function with arguments z,x. G2(z, x) The Meijer-G function with specific arguments: meijerg([[], [1, 1,1]], [[0, 0, 0, z], []], x), normalised by the incomplete gamma function with arguments z,x. gamma(z) Gamma function. gammainc(z, x) Upper incomplete gamma function. hyperReg_2F2(z, x) The regularised hypergeometric function with specific arguments: hyper([z,z],[z+1,z+1],-x). polygamma(m, z) Polygamma function.