
doi: 10.1137/0901022
The purpose of this paper is to draw attention to a method of performing analytic subtractions that can dramatically improve the numerical stability of a continued fraction (cf) or series expansion. The method is applied to the computation of the incomplete gamma and beta functions.
Computation of special functions and constants, construction of tables, analytic subtraction, Numerical summation of series, incomplete gamma function, incomplete beta function, continued fractions, Gamma, beta and polygamma functions
Computation of special functions and constants, construction of tables, analytic subtraction, Numerical summation of series, incomplete gamma function, incomplete beta function, continued fractions, Gamma, beta and polygamma functions
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