§12.3 Graphics

Permalink:: http://dlmf.nist.gov/12.3

§12.3(i) Real Variables
§12.3(ii) Complex Variables

§12.3(i) Real Variables

Notes:: These graphics were produced at NIST.
Keywords:: parabolic cylinder functions
Referenced by:: §12.2(vi)
Permalink:: http://dlmf.nist.gov/12.3.i

Figure 12.3.1: $\mathop{U\/}\nolimits\!\left(a,x\right)$ , $a$ = 0.5, 2, 3.5, 5, 8.

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

Figure 12.3.2: $\mathop{V\/}\nolimits\!\left(a,x\right)$ , $a$ = 0.5, 2, 3.5, 5, 8.

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

Figure 12.3.3: $\mathop{U\/}\nolimits\!\left(a,x\right)$ , $a$ = −0.5, −2, −3.5, −5.

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

Figure 12.3.4: $\mathop{V\/}\nolimits\!\left(a,x\right)$ , $a$ = −0.5, −2, −3.5, −5.

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

Figure 12.3.5: $\mathop{U\/}\nolimits\!\left(-8,x\right)$ , $\mathop{\overline{U}\/}\nolimits\!\left(-8,x\right)$ , $F(-8,x)$ , $-4\sqrt{2}\leq x\leq 4\sqrt{2}$ .

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

Figure 12.3.6: ${\mathop{U\/}\nolimits^{{\prime}}}\!\left(-8,x\right)$ , ${\mathop{\overline{U}\/}\nolimits^{{\prime}}}\!\left(-8,x\right)$ , $G(-8,x)$ , $-4\sqrt{2}\leq x\leq 4\sqrt{2}$ .