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On the construction of discrete approximations to linear differential expressions
Authors:
C. Ballester and V. Pereyra
Journal:
Math. Comp. 21 (1967), 297-302
MSC:
Primary 65.55
MathSciNet review:
0228167
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Abstract: Rational Chebyshev approximations are given for the natural logarithm of the real gamma function for arguments in the intervals ![$ [0.5,1.5]$](images/img4.gif) , ![$ [1.5,4.0]$](images/img5.gif) and ![$ [4.0,12.0]$](images/img6.gif) . Maximal relative errors range down to  .
- [1]
John
R. Rice, On the 𝐿_{∞} Walsh
arrays for Γ(𝑥) and
𝐸𝑟𝑓𝑐(𝑥), Math. Comp. 18 (1964), 617–626. MR 0168978
(29 #6233), http://dx.doi.org/10.1090/S0025-5718-1964-0168978-8
- [2]
John Hart et al, Handbook of Computer Approximations, Wiley, New York. (To appear.)
- [3]
Milton
Abramowitz and Irene
A. Stegun, Handbook of mathematical functions with formulas,
graphs, and mathematical tables, National Bureau of Standards Applied
Mathematics Series, vol. 55, For sale by the Superintendent of
Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 0167642
(29 #4914)
- [4]
W. J. Cody & Joseph Stoer, ``Rational Chebyshev approximations using interpolation.'' (To appear.)
- [1]
- J. R. Rice, ``On the
 Walsh arrays for  and Erf  ,'' Math. Comp., v. 18, 1964' pp. 617-626. MR 29 #6233. MR 0168978 (29:6233)
- [2]
- John Hart et al, Handbook of Computer Approximations, Wiley, New York. (To appear.)
- [3]
- M. Abramowitz & I. A. Stegun (Eds.), Handbook of Mathematical Functions, Appl. Math. Series, Vol. 55, National Bureau of Standards, U. S. Government Printing Office, Washington, D. C., 1964. MR 0167642 (29:4914)
- [4]
- W. J. Cody & Joseph Stoer, ``Rational Chebyshev approximations using interpolation.'' (To appear.)
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DOI:
http://dx.doi.org/10.1090/S0025-5718-1967-0228167-8
PII:
S 0025-5718(1967)0228167-8
Article copyright:
© Copyright 1967 American Mathematical Society
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