§12.3 Graphics

§12.3(i) Real Variables

Figure 12.3.1: $\mathop{U\/}\nolimits\!\left(a,x\right)$ ,

= 0.5, 2, 3.5, 5, 8.

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real or complex parameter
Permalink:: http://dlmf.nist.gov/12.3.F1
Encodings:: pdf, png

Figure 12.3.2: $\mathop{V\/}\nolimits\!\left(a,x\right)$ ,

= 0.5, 2, 3.5, 5, 8.

Symbols:: $\mathop{V\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real or complex parameter
Permalink:: http://dlmf.nist.gov/12.3.F2
Encodings:: pdf, png

Figure 12.3.3: $\mathop{U\/}\nolimits\!\left(a,x\right)$ ,

= −0.5, −2, −3.5, −5.

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real or complex parameter
Permalink:: http://dlmf.nist.gov/12.3.F3
Encodings:: pdf, png

Figure 12.3.4: $\mathop{V\/}\nolimits\!\left(a,x\right)$ ,

= −0.5, −2, −3.5, −5.

Symbols:: $\mathop{V\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real or complex parameter
Permalink:: http://dlmf.nist.gov/12.3.F4
Encodings:: pdf, png

Figure 12.3.5: $\mathop{U\/}\nolimits\!\left(-8,x\right)$ , $\mathop{\overline{U}\/}\nolimits\!\left(-8,x\right)$ ,

, $-4\sqrt{2}\leq x\leq 4\sqrt{2}$ .

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, $\mathop{\overline{U}\/}\nolimits\!\left(a,x\right)$ : parabolic cylinder function, : real variable and : modulus
Permalink:: http://dlmf.nist.gov/12.3.F5
Encodings:: pdf, png

Figure 12.3.6: ${\mathop{U\/}\nolimits^{{\prime}}}\!\left(-8,x\right)$ , ${\mathop{\overline{U}\/}\nolimits^{{\prime}}}\!\left(-8,x\right)$ ,

, $-4\sqrt{2}\leq x\leq 4\sqrt{2}$ .

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, $\mathop{\overline{U}\/}\nolimits\!\left(a,x\right)$ : parabolic cylinder function, : real variable and : modulus
Permalink:: http://dlmf.nist.gov/12.3.F6
Encodings:: pdf, png

Figure 12.3.7: $\mathop{U\/}\nolimits\!\left(a,x\right)$ , $-2.5\leq a\leq 2.5$ , $-2.5\leq x\leq 2.5$ .

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real or complex parameter
Permalink:: http://dlmf.nist.gov/12.3.F7
Encodings:: VRML, X3D, pdf, png

Figure 12.3.8: $\mathop{V\/}\nolimits\!\left(a,x\right)$ , $-2.5\leq a\leq 2.5$ , $-2.5\leq x\leq 2.5$ .

Symbols:: $\mathop{V\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real or complex parameter
Permalink:: http://dlmf.nist.gov/12.3.F8
Encodings:: VRML, X3D, pdf, png

In the graphics shown in this subsection, height corresponds to the absolute value of the function and color to the phase. See also About Color Map.

Figure 12.3.9: $\mathop{U\/}\nolimits\!\left(3.5,x+iy\right)$ , $-3.6\leq x\leq 5$ , $-5\leq y\leq 5$ .

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real variable
Permalink:: http://dlmf.nist.gov/12.3.F9
Encodings:: VRML, X3D, pdf, png

Figure 12.3.10: $\mathop{U\/}\nolimits\!\left(-3.5,x+iy\right)$ , $-5\leq x\leq 5$ , $-3.5\leq y\leq 3.5$ .

Symbols:: $\mathop{U\/}\nolimits\!\left(a,z\right)$ : parabolic cylinder function, : real variable and : real variable
Permalink:: http://dlmf.nist.gov/12.3.F10
Encodings:: VRML, X3D, pdf, png