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6 Exponential, Logarithmic, Sine, and Cosine Integrals Properties 6.3 Graphics 6.3 Graphics 6.4 Analytic Continuation

Figure 6.3.3 (See in context.)

Figure 6.3.3:

|E_{1}\left(x+iy\right)|

,

-4\leq x\leq 4

,

-4\leq y\leq 4

. Principal value. There is a cut along the negative real axis. Also,

|E_{1}\left(z\right)|\to\infty

logarithmically as

z\to 0

.

ⓘ

Annotations:

Symbols:: $E_{1}\left(\NVar{z}\right)$ : exponential integral, $\mathrm{i}$ : imaginary unit, $x$ : real variable and $z$ : complex variable
Keywords:: exponential integrals, graphics
Permalink:: http://dlmf.nist.gov/6.3.F3.viz

6.3 Graphics 6.4 Analytic Continuation

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