Calculation of Special Functions: The Gamma Function, the Exponential Integrals and Error-like Functions |
Contents
GENERAL ASPECTS OF COMPUTING FUNCTIONS | 19 |
THE GAMMA FUNCTION AND RELATED FUNCTIONS | 115 |
EXPONENTIAL INTEGRALS AND RELATED FUNCTIONS | 141 |
Copyright | |
2 other sections not shown
Common terms and phrases
ABRAMOWITZ & STEGUN accuracy ALGOL 60 algorithm analysis argument asymptotic expansion backward Bessel functions bounds CALGO Chebyshev expansions Chebyshev polynomials CLENSHAW CODY coefficients complex computational problem condition number confluent hypergeometric function considered continued fraction convergence Dawson's integral defined digits dominant solution E₁ eigenvectors elliptic integrals equation erfc error function estimate evaluation example exponential integrals finite precision arithmetic follows formula FORTRAN Fresnel integrals func FUNPACK gamma function GAUTSCHI given gives graph homogeneous implementation IMSL incomplete gamma functions inhomogeneous initial value LUKE mathematical MATTHEIJ methods Miller's algorithm minimal solution numerical obtain OLVER Padé parameters perturbation polygamma functions portable power series precision arithmetic program libraries rational approximations recurrence relation recursion relative error REMARK representation respect rounding errors routines sequence special functions stability subroutine theorem theory tion transformation truncation error vector zero