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29 Lamé FunctionsLamé Polynomials

§29.13 Graphics

Contents
  1. §29.13(i) Eigenvalues for Lamé Polynomials
  2. §29.13(ii) Lamé Polynomials: Real Variable
  3. §29.13(iii) Lamé Polynomials: Complex Variable

§29.13(i) Eigenvalues for Lamé Polynomials

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Figure 29.13.1: a2m(k2), b2m(k2) as functions of k2 for m=0,1,2 (a’s), m=1,2 (b’s). Magnify
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Figure 29.13.2: a1m(k2), b1m(k2) as functions of k2 for m=0,1 (a’s), m=1 (b’s). Magnify
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Figure 29.13.3: a3m(k2), b3m(k2) as functions of k2 for m=0,1,2,3 (a’s), m=1,2,3 (b’s). Magnify
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Figure 29.13.4: a4m(k2), b4m(k2) as functions of k2 for m=0,1,2,3,4 (a’s), m=1,2,3,4 (b’s). Magnify

§29.13(ii) Lamé Polynomials: Real Variable

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Figure 29.13.5: 𝑢𝐸4m(x,0.1) for 2Kx2K, m=0,1,2. K=1.61244. Magnify
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Figure 29.13.6: 𝑢𝐸4m(x,0.9) for 2Kx2K, m=0,1,2. K=2.57809. Magnify
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Figure 29.13.7: 𝑠𝐸5m(x,0.1) for 2Kx2K, m=0,1,2. K=1.61244. Magnify
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Figure 29.13.8: 𝑠𝐸5m(x,0.9) for 2Kx2K, m=0,1,2. K=2.57809. Magnify
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Figure 29.13.9: 𝑐𝐸5m(x,0.1) for 2Kx2K, m=0,1,2. K=1.61244. Magnify
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Figure 29.13.10: 𝑐𝐸5m(x,0.9) for 2Kx2K, m=0,1,2. K=2.57809. Magnify
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Figure 29.13.11: 𝑑𝐸5m(x,0.1) for 2Kx2K, m=0,1,2. K=1.61244. Magnify
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Figure 29.13.12: 𝑑𝐸5m(x,0.9) for 2Kx2K, m=0,1,2. K=2.57809. Magnify
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Figure 29.13.13: 𝑠𝑐𝐸4m(x,0.1) for 2Kx2K, m=0,1. K=1.61244. Magnify
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Figure 29.13.14: 𝑠𝑐𝐸4m(x,0.9) for 2Kx2K, m=0,1. K=2.57809. Magnify
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Figure 29.13.15: 𝑠𝑑𝐸4m(x,0.1) for 2Kx2K, m=0,1. K=1.61244. Magnify
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Figure 29.13.16: 𝑠𝑑𝐸4m(x,0.9) for 2Kx2K, m=0,1. K=2.57809. Magnify
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Figure 29.13.17: 𝑐𝑑𝐸4m(x,0.1) for 2Kx2K, m=0,1. K=1.61244. Magnify
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Figure 29.13.18: 𝑐𝑑𝐸4m(x,0.9) for 2Kx2K, m=0,1. K=2.57809. Magnify
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Figure 29.13.19: 𝑠𝑐𝑑𝐸5m(x,0.1) for 2Kx2K, m=0,1. K=1.61244. Magnify
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Figure 29.13.20: 𝑠𝑐𝑑𝐸5m(x,0.9) for 2Kx2K, m=0,1. K=2.57809. Magnify

§29.13(iii) Lamé Polynomials: Complex Variable

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Figure 29.13.21: |𝑢𝐸41(x+iy,0.1)| for 3Kx3K, 0y2K. K=1.61244, K=2.57809. Magnify 3D Help
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Figure 29.13.23: |𝑢𝐸41(x+iy,0.9)| for 3Kx3K, 0y2K. K=2.57809, K=1.61244. Magnify 3D Help