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6 Exponential, Logarithmic, Sine, and Cosine IntegralsNotation

§6.1 Special Notation

(For other notation see Notation for the Special Functions.)

x real variable.
z complex variable.
n nonnegative integer.
δ arbitrary small positive constant.
γ Euler’s constant (§5.2(ii)).

Unless otherwise noted, primes indicate derivatives with respect to the argument.

The main functions treated in this chapter are the exponential integrals Ei(x), E1(z), and Ein(z); the logarithmic integral li(x); the sine integrals Si(z) and si(z); the cosine integrals Ci(z) and Cin(z).