Asymptotic formula for hypergeometric function 1f1a

View versions (1)

Interface

#include <codecogs/maths/special/hypergeometric/hypergeo_1f1a.h>

using namespace Maths::Special::Hypergeometric;

Asymptotic formula for hypergeometric function:

\Gamma(b) \left ( \frac{|z|^{-a}}{\Gamma(b-a)} 2 f_0(a, 1+a-b, -1/x)
     + \frac{e^x |x|^{a-b}}{\Gamma(a)} 2 f_0(b-a, 1-a, 1/x) \right )
(1)

References

Cephes Math Library Release 2.0: April, 1987

Parameters

x
argument
GPL Licence — free for non commercial use. See Licence details.

Interactive Calculator

a
b
x
error
Result