Chebyshev approximations for the natural logarithm of the Gamma function
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- by W. J. Cody and K. E. Hillstrom PDF
- Math. Comp. 21 (1967), 198-203 Request permission
Abstract:
Rational Chebyshev approximations are given for the natural logarithm of the real gamma function for arguments in the intervals $[0.5,1.5]$, $[1.5,4.0]$ and $[4.0,12.0]$. Maximal relative errors range down to $1 \times {10^{ - 17}}$.References
- John R. Rice, On the $L_{\infty }$ Walsh arrays for $\Gamma (x)$ and $\textrm {Erfc}(x)$, Math. Comp. 18 (1964), 617β626. MR 168978, DOI 10.1090/S0025-5718-1964-0168978-8 John Hart et al, Handbook of Computer Approximations, Wiley, New York. (To appear.)
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642 W. J. Cody & Joseph Stoer, βRational Chebyshev approximations using interpolation.β (To appear.)
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 198-203
- DOI: https://doi.org/10.1090/S0025-5718-67-99635-4