Website owner: James Miller
Error and complementary error functions. Exponential integral. Sine and cosine integrals. Fresnel sine and cosine integrals.
Error function
Miscellaneous
4) erf (-x) = - erf(x)
5) erf (0) = 0
6) erf (∞) = 1
Complementary Error function
Miscellaneous
10) erfc (0) = 1
11) erfc (∞) = 0
Exponential integral
Miscellaneous
16) Ei(∞) = 0
where γ is Euler’s constant.
Sine integral
Miscellaneous
20) Si(-x) = - Si(x)
21) Si(0) = 0
22) Si(∞) = π/2
Cosine integral
Miscellaneous
26) Ci(∞) = 0
where γ is Euler’s constant.
Fresnel sine integral
Miscellaneous
30) S(-x) = - S(x)
31) S(0) = 0
32) S(∞) = 1/2
Fresnel cosine integral
Miscellaneous
36) C(-x) = - C(x)
31) C(0) = 0
32) C(∞) = 1/2
Source: Spiegel. Mathematical Handbook of Formulas and Tables. (Schaum)
References.
1. Spiegel. Mathematical Handbook of Formulas and Tables. (Schaum)
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