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DLMF: §6.3 Graphics ‣ Properties ‣ Chapter 6 Exponential, Logarithmic, Sine, and Cosine Integrals

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6 Exponential, Logarithmic, Sine, and Cosine Integrals Properties 6.2 Definitions and Interrelations 6.4 Analytic Continuation

§6.3 Graphics

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Permalink:: http://dlmf.nist.gov/6.3
See also:: Annotations for Ch.6

Contents

§6.3(i) Real Variable

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Notes:: These graphs were produced at NIST.
Permalink:: http://dlmf.nist.gov/6.3.i
See also:: Annotations for §6.3 and Ch.6

See accompanying text — Figure 6.3.1: The exponential integrals $E_{1}\left(x\right)$ and $\operatorname{Ei}\left(x\right)$ , $0<x\leq 2$ . Magnify

See accompanying text — Figure 6.3.2: The sine and cosine integrals $\operatorname{Si}\left(x\right),\operatorname{Ci}\left(x\right)$ , $0\leq x\leq 15$ . Magnify

For a graph of $\operatorname{li}\left(x\right)$ see Figure 6.16.2.

§6.3(ii) Complex Variable

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Notes:: This surface was produced at NIST.
Permalink:: http://dlmf.nist.gov/6.3.ii
See also:: Annotations for §6.3 and Ch.6

See accompanying text — 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 $z\to 0$ . Magnify 3D Help

6.2 Definitions and Interrelations 6.4 Analytic Continuation

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