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30 Spheroidal Wave FunctionsProperties

§30.7 Graphics

Contents
  1. §30.7(i) Eigenvalues
  2. §30.7(ii) Functions of the First Kind
  3. §30.7(iii) Functions of the Second Kind
  4. §30.7(iv) Functions of Complex Argument

§30.7(i) Eigenvalues

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Figure 30.7.1: Eigenvalues λn0(γ2), n=0,1,2,3, 10γ210. Magnify
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Figure 30.7.2: Eigenvalues λn1(γ2) n=1,2,3,4, 10γ210. Magnify
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Figure 30.7.3: Eigenvalues λn5(γ2), n=5,6,7,8, 40γ240. Magnify
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Figure 30.7.4: Eigenvalues λn10(γ2), n=10,11,12,13, 50γ2150. Magnify

§30.7(ii) Functions of the First Kind

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Figure 30.7.5: 𝖯𝗌n0(x,4), n=0,1,2,3, 1x1. Magnify
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Figure 30.7.6: 𝖯𝗌n0(x,4), n=0,1,2,3, 1x1. Magnify
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Figure 30.7.7: 𝖯𝗌n1(x,30), n=1,2,3,4, 1x1. Magnify
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Figure 30.7.8: 𝖯𝗌n1(x,30), n=1,2,3,4, 1x1. Magnify
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Figure 30.7.9: 𝖯𝗌20(x,γ2), 1x1, 50γ250. Magnify 3D Help
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Figure 30.7.10: 𝖯𝗌31(x,γ2), 1x1, 50γ250. Magnify 3D Help

§30.7(iii) Functions of the Second Kind

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Figure 30.7.11: 𝖰𝗌n0(x,4), n=0,1,2,3, 1<x<1. Magnify
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Figure 30.7.12: 𝖰𝗌n0(x,4), n=0,1,2,3, 1<x<1. Magnify
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Figure 30.7.13: 𝖰𝗌n1(x,4), for n=1,2,3,4, 1<x<1. Magnify
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Figure 30.7.14: 𝖰𝗌n1(x,4), n=1,2,3,4, 1<x<1. Magnify
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Figure 30.7.15: 𝖰𝗌10(x,γ2),1<x<1,10γ210. Magnify 3D Help

§30.7(iv) Functions of Complex Argument

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Figure 30.7.16: |𝑃𝑠00(x+iy,4)|, 2x2, 2y2. Magnify 3D Help
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Figure 30.7.17: |𝑃𝑠00(x+iy,4)|, 2x2, 2y2. Magnify 3D Help
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Figure 30.7.18: |𝑃𝑠11(x+iy,4)|, 2x2, 2y2. Magnify 3D Help
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Figure 30.7.19: |𝑃𝑠11(x+iy,4)|, 2x2, 2y2. Magnify 3D Help
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Figure 30.7.20: |𝑄𝑠00(x+iy,4)|, 2x2, 2y2. Magnify 3D Help
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Figure 30.7.21: |𝑄𝑠00(x+iy,4)|, 1.8x1.8, 2y2. Magnify 3D Help