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29 Lamé FunctionsLamé Functions

§29.4 Graphics

Contents

§29.4(i) Eigenvalues of Lamé’s Equation: Line Graphs

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Figure 29.4.1: aνm(0.5), bνm+1(0.5) as functions of ν for m=0,1,2,3. Magnify
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Figure 29.4.2: aν3(0.5)-bν3(0.5) as a function of ν. Magnify
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Figure 29.4.3: a1.5m(k2), b1.5m+1(k2) as functions of k2 for m=0,1,2. Magnify
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Figure 29.4.4: aνm(0.1), bνm+1(0.1) as functions of ν for m=0,1,2,3. Magnify
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Figure 29.4.5: aνm(0.9), bνm+1(0.9) as functions of ν for m=0,1,2,3. Magnify
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Figure 29.4.6: aν2(0.5)-bν2(0.5) as a function of ν. Magnify
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Figure 29.4.7: aν4(0.5)-bν4(0.5) as a function of ν. Magnify
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Figure 29.4.8: a2.5m(k2), b2.5m+1(k2) as functions of k2 for m=0,1,2. Magnify

§29.4(ii) Eigenvalues of Lamé’s Equation: Surfaces

Figure 29.4.9: aν0(k2) as a function of ν and k2. Magnify
Figure 29.4.10: bν1(k2) as a function of ν and k2. Magnify
Figure 29.4.11: aν1(k2) as a function of ν and k2. Magnify
Figure 29.4.12: bν2(k2) as a function of ν and k2. Magnify

§29.4(iii) Lamé Functions: Line Graphs

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Figure 29.4.13: Ec1.5m(x,0.5) for -2Kx2K, m=0,1,2. K=1.85407. Magnify
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Figure 29.4.14: Es1.5m(x,0.5) for -2Kx2K, m=1,2,3. K=1.85407. Magnify
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Figure 29.4.15: Ec1.5m(x,0.1) for -2Kx2K, m=0,1,2. K=1.61244. Magnify
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Figure 29.4.16: Es1.5m(x,0.1) for -2Kx2K, m=1,2,3. K=1.61244. Magnify
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Figure 29.4.17: Ec1.5m(x,0.9) for -2Kx2K, m=0,1,2. K=2.57809. Magnify
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Figure 29.4.18: Es1.5m(x,0.9) for -2Kx2K, m=1,2,3. K=2.57809. Magnify
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Figure 29.4.19: Ec2.5m(x,0.1) for -2Kx2K, m=0,1,2. K=1.61244. Magnify
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Figure 29.4.20: Es2.5m(x,0.1) for -2Kx2K, m=1,2,3. K=1.61244. Magnify
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Figure 29.4.21: Ec2.5m(x,0.5) for -2Kx2K, m=0,1,2. K=1.85407. Magnify
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Figure 29.4.22: Es2.5m(x,0.5) for -2Kx2K, m=1,2,3. K=1.85407. Magnify
See accompanying text
Figure 29.4.23: Ec2.5m(x,0.9) for -2Kx2K, m=0,1,2. K=2.57809. Magnify
See accompanying text
Figure 29.4.24: Es2.5m(x,0.9) for -2Kx2K, m=1,2,3. K=2.57809. Magnify

§29.4(iv) Lamé Functions: Surfaces

Figure 29.4.25: Ec1.50(x,k2) as a function of x and k2. Magnify
Figure 29.4.26: Es1.51(x,k2) as a function of x and k2. Magnify
Figure 29.4.27: Ec1.51(x,k2) as a function of x and k2. Magnify
Figure 29.4.28: Es1.52(x,k2) as a function of x and k2. Magnify
Figure 29.4.29: Ec2.50(x,k2) as a function of x and k2. Magnify
Figure 29.4.30: Es2.51(x,k2) as a function of x and k2. Magnify
Figure 29.4.31: Ec2.51(x,k2) as a function of x and k2. Magnify
Figure 29.4.32: Es2.52(x,k2) as a function of x and k2. Magnify