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12 Parabolic Cylinder FunctionsProperties

§12.3 Graphics

Contents

§12.3(i) Real Variables

See accompanying text
Figure 12.3.1: U(a,x), a = 0.5, 2, 3.5, 5, 8. Magnify
See accompanying text
Figure 12.3.2: V(a,x), a = 0.5, 2, 3.5, 5, 8. Magnify
See accompanying text
Figure 12.3.3: U(a,x), a = -0.5, -2, -3.5, -5. Magnify
See accompanying text
Figure 12.3.4: V(a,x), a = -0.5, -2, -3.5, -5. Magnify
See accompanying text
Figure 12.3.5: U(-8,x), U¯(-8,x), F(-8,x), -42x42. Magnify
See accompanying text
Figure 12.3.6: U(-8,x), U¯(-8,x), G(-8,x), -42x42. Magnify
Figure 12.3.7: U(a,x), -2.5a2.5, -2.5x2.5. Magnify
Figure 12.3.8: V(a,x), -2.5a2.5, -2.5x2.5. Magnify

§12.3(ii) Complex Variables

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: U(3.5,x+iy), -3.6x5, -5y5. Magnify
Figure 12.3.10: U(-3.5,x+iy), -5x5, -3.5y3.5. Magnify