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DLMF: §12.3 Graphics ‣ Properties ‣ Chapter 12 Parabolic Cylinder Functions

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12 Parabolic Cylinder Functions Properties 12.2 Differential Equations 12.4 Power-Series Expansions

§12.3 Graphics

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Permalink:: http://dlmf.nist.gov/12.3
See also:: Annotations for Ch.12

Contents

§12.3(i) Real Variables

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Keywords:: graphics, parabolic cylinder functions, real variables
Notes:: These graphics were produced at NIST.
Referenced by:: §12.2(vi)
Permalink:: http://dlmf.nist.gov/12.3.i
See also:: Annotations for §12.3 and Ch.12

See accompanying text — Figure 12.3.1: $U\left(a,x\right)$ , $a$ = 0.5, 2, 3.5, 5, 8. Magnify

See accompanying text — Figure 12.3.1: $U\left(a,x\right)$ , $a$ = 0.5, 2, 3.5, 5, 8. Magnify

See accompanying text — Figure 12.3.3: $U\left(a,x\right)$ , $a$ = $-0.5$ , $-2$ , $-3.5$ , $-5$ . Magnify

See accompanying text — Figure 12.3.3: $U\left(a,x\right)$ , $a$ = $-0.5$ , $-2$ , $-3.5$ , $-5$ . Magnify

See accompanying text — Figure 12.3.5: $U\left(-8,x\right)$ , $\overline{U}\left(-8,x\right)$ , $F(-8,x)$ , $-4\sqrt{2}\leq x\leq 4\sqrt{2}$ . Magnify

See accompanying text — Figure 12.3.5: $U\left(-8,x\right)$ , $\overline{U}\left(-8,x\right)$ , $F(-8,x)$ , $-4\sqrt{2}\leq x\leq 4\sqrt{2}$ . Magnify

See accompanying text — Figure 12.3.7: $U\left(a,x\right)$ , $-2.5\leq a\leq 2.5$ , $-2.5\leq x\leq 2.5$ . Magnify 3D Help

See accompanying text — Figure 12.3.7: $U\left(a,x\right)$ , $-2.5\leq a\leq 2.5$ , $-2.5\leq x\leq 2.5$ . Magnify 3D Help

§12.3(ii) Complex Variables

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Keywords:: complex variables, graphics, parabolic cylinder functions
Notes:: These graphics were produced at NIST.
Permalink:: http://dlmf.nist.gov/12.3.ii
See also:: Annotations for §12.3 and Ch.12

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.

See accompanying text — Figure 12.3.9: $U\left(3.5,x+iy\right)$ , $-3.6\leq x\leq 5$ , $-5\leq y\leq 5$ . Magnify 3D Help

See accompanying text — Figure 12.3.9: $U\left(3.5,x+iy\right)$ , $-3.6\leq x\leq 5$ , $-5\leq y\leq 5$ . Magnify 3D Help

12.2 Differential Equations 12.4 Power-Series Expansions

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