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14 Legendre and Related FunctionsReal Arguments

§14.4 Graphics

Contents

§14.4(i) Ferrers Functions: 2D Graphs

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Figure 14.4.1: Pν0(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.2: Qν0(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.3: Pν-1/2(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.4: Qν1/2(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.5: Pν-1(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.6: Qν1(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.7: P0-μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.8: Q0μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.9: P1/2-μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.10: Q1/2μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.11: P1-μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.12: Q1μ(x),μ=0,12,1,2,4. Magnify

§14.4(ii) Ferrers Functions: 3D Surfaces

Figure 14.4.13: Pν0(x),0ν10,-1<x<1. Magnify
Figure 14.4.14: Qν0(x),0ν10,-1<x<1. Magnify
Figure 14.4.15: P0-μ(x),0μ10,-1<x<1. Magnify
Figure 14.4.16: Q0μ(x),0μ6.2,-1<x<1. Magnify

§14.4(iii) Associated Legendre Functions: 2D Graphs

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Figure 14.4.17: Pν0(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.18: Qν0(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.19: Pν-1/2(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.20: Qν1/2(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.21: Pν-1(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.22: Qν1(x),ν=0,12,1,2,4. Magnify
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Figure 14.4.23: P0-μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.24: Q0μ(x),μ=0,2,4,8. Magnify
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Figure 14.4.25: P1/2-μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.26: Q1/2μ(x),μ=0,2,4,8. Magnify
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Figure 14.4.27: P1-μ(x),μ=0,12,1,2,4. Magnify
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Figure 14.4.28: Q1μ(x),μ=0,2,4,8. Magnify

§14.4(iv) Associated Legendre Functions: 3D Surfaces

Figure 14.4.29: Pν0(x),0ν10,1<x<10. Magnify
Figure 14.4.30: Qν0(x),0ν10,1<x<10. Magnify
Figure 14.4.31: P0-μ(x),0μ10,1<x<10. Magnify
Figure 14.4.32: Q0μ(x),0μ10,1<x<10. Magnify