exponential integrals
(0.005 seconds)
1—10 of 238 matching pages
1: 8.19 Generalized Exponential Integral
§8.19 Generalized Exponential Integral
… ►For an extensive treatment of see Chapter 6. … ►§8.19(ii) Graphics
… ► … ►§8.19(x) Integrals
…2: 6.2 Definitions and Interrelations
§6.2(i) Exponential and Logarithmic Integrals
►The principal value of the exponential integral is defined by … ►Unless indicated otherwise, it is assumed throughout the DLMF that assumes its principal value. … is sometimes called the complementary exponential integral. … ► …3: 6.5 Further Interrelations
4: 6.3 Graphics
5: 6.19 Tables
Abramowitz and Stegun (1964, Chapter 5) includes , , , , ; , , , , ; , , , , ; , , , , ; , , . Accuracy varies but is within the range 8S–11S.
Zhang and Jin (1996, pp. 652, 689) includes , , , 8D; , , , 8S.
Abramowitz and Stegun (1964, Chapter 5) includes the real and imaginary parts of , , , 6D; , , , 6D; , , , 6D.
Zhang and Jin (1996, pp. 690–692) includes the real and imaginary parts of , , , 8S.
6: 6.1 Special Notation
7: 6.8 Inequalities
8: 6.20 Approximations
Cody and Thacher (1968) provides minimax rational approximations for , with accuracies up to 20S.
Cody and Thacher (1969) provides minimax rational approximations for , with accuracies up to 20S.
Luke (1969b, pp. 321–322) covers and for (the Chebyshev coefficients are given to 20D); for (20D), and for (15D). Coefficients for the sine and cosine integrals are given on pp. 325–327.
Luke (1969b, pp. 411–414) gives rational approximations for .