Computation of the confluent hypergeometric function U(a, b, x) and its derivative for positive arguments

[摘要] An algorithm and a MATLAB implementation for computing the Kummer function U(a, b, x) and its derivative is given in this paper. The algorithm is efficient and accurate. Numerical tests show that the MATLAB algorithm allows the computation of the function with similar to 10(-14) relative accuracy in the parameter region (a, b, x) is an element of (0, 500) x (0, 500) x (0, 1000) in double-precision floating point arithmetic.

[效力级别]  Early Access