§6.3 Graphics

Permalink:: http://dlmf.nist.gov/6.3

§6.3(i) Real Variable
§6.3(ii) Complex Variable

§6.3(i) Real Variable

Notes:: These graphs were produced at NIST.
Permalink:: http://dlmf.nist.gov/6.3.i

Figure 6.3.1: The exponential integrals $\mathop{E_{1}\/}\nolimits\!\left(x\right)$ and $\mathop{\mathrm{Ei}\/}\nolimits\!\left(x\right)$ , $0<x\leq 2$ .

Symbols:: $\mathop{E_{1}\/}\nolimits\!\left(z\right)$ : exponential integral, $\mathop{\mathrm{Ei}\/}\nolimits\!\left(x\right)$ : exponential integral and $x$ : real variable
Keywords:: exponential integrals
Permalink:: http://dlmf.nist.gov/6.3.F1
Encodings:: pdf, png

Figure 6.3.2: The sine and cosine integrals $\mathop{\mathrm{Si}\/}\nolimits\!\left(x\right),\mathop{\mathrm{Ci}\/}\nolimits\!\left(x\right)$ , $0\leq x\leq 15$ .

Symbols:: $\mathop{\mathrm{Ci}\/}\nolimits\!\left(z\right)$ : cosine integral, $\mathop{\mathrm{Si}\/}\nolimits\!\left(z\right)$ : sine integral and $x$ : real variable
Keywords:: cosine integrals, sine integrals
Referenced by:: §6.16(i)
Permalink:: http://dlmf.nist.gov/6.3.F2
Encodings:: pdf, png

For a graph of $\mathop{\mathrm{li}\/}\nolimits\!\left(x\right)$ see Figure 6.16.2.

§6.3(ii) Complex Variable

Notes:: This surface was produced at NIST.
Permalink:: http://dlmf.nist.gov/6.3.ii

Visualization Help

Figure 6.3.3: $|\mathop{E_{1}\/}\nolimits\!\left(x+iy\right)|$ , $-4\leq x\leq 4$ , $-4\leq y\leq 4$ . Principal value. There is a cut along the negative real axis. Also, $|\mathop{E_{1}\/}\nolimits\!\left(z\right)|\to\infty$ logarithmically as $z\to 0$ .

Symbols:: $\mathop{E_{1}\/}\nolimits\!\left(z\right)$ : exponential integral, $x$ : real variable and $z$ : complex variable
Keywords:: exponential integrals
Permalink:: http://dlmf.nist.gov/6.3.F3
Encodings:: VRML, X3D, pdf, png

§6.3 Graphics

Contents

§6.3(i) Real Variable

§6.3(ii) Complex Variable