NUMERICAL EVALUATION OF INTEGRALS OF THE FORM Formula AND THE TABULATION OF THE FUNCTION Formula

1 January 1950

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 3 (1) , 107-112
https://doi.org/10.1093/qjmam/3.1.107

Abstract

The function du is tabulated to four decimals for the range of argument x = 0(0.02)2(0.05)3(0.1)10. To facilitate interpolation for small x an auxiliary function g(x) = f(x)+log x is tabulated to four decimals for x = 0(0.1)1. An asymptotic expression is given for values of x greater than 10. Full details of the method of computation are given and an interesting application of the Euler transformation to the summation of asymptotic series is included.

Keywords

FUNCTION
FORMULA
TABULATED
INTERPOLATION
AUXILIARY
EULER
SUMMATION
INTERESTING
ARGUMENT

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