Digital Library of Mathematical Functions
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11 Struve and Related FunctionsStruve and Modified Struve Functions

§11.3 Graphics

Contents

§11.3(i) Struve Functions

See accompanying text
Figure 11.3.1: Hν(x) for 0x12 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.2: Kν(x) for 0<x16 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.3: Hν(x) for 0x12 and ν=-3,-2,-32,-1,-12. Magnify
See accompanying text
Figure 11.3.4: Kν(x) for 0<x16 and ν=-4,-3,-2,-1,0. If ν=-12,-32, …, then Kν(x) is identically zero. Magnify
Figure 11.3.5: Hν(x) for 0x8 and -4ν4. Magnify
Figure 11.3.6: Kν(x) for 0x8 and -4ν4. Magnify
Figure 11.3.7: |H0(x+y)| for -8x8 and -3y3. Magnify
Figure 11.3.8: |K0(x+y)| (principal value) for -8x8 and -3y3. There is a cut along the negative real axis. Magnify
Figure 11.3.9: |H12(x+y)| (principal value) for -8x8 and -3y3. There is a cut along the negative real axis. Magnify
Figure 11.3.10: |K12(x+y)| (principal value) for -8x8 and -3y3. There is a cut along the negative real axis. Magnify
Figure 11.3.11: |H1(x+y)| for -8.5x8.5 and -3y3. Magnify
Figure 11.3.12: |K1(x+y)| (principal value) for -8x8 and -3y3. There is a cut along the negative real axis. Magnify

§11.3(ii) Modified Struve Functions

See accompanying text
Figure 11.3.13: Lν(x) for 0x<4.38 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.14: Mν(x) for 0x16 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.15: Lν(x) for 0x<4.25 and ν=-3,-2,-32,-1,-12. Magnify
See accompanying text
Figure 11.3.16: Mν(x) for 0<x16 and ν=-3,-2,-32,-1,-12. Magnify
Figure 11.3.17: Lν(x) for 0x5.6 and -4ν4. Magnify
Figure 11.3.18: Mν(x) for 0x8 and -4ν4. Magnify
Figure 11.3.19: |M-12(x+y)| (principal value) for -3x3 and -3y3. There is a cut along the negative real axis. Magnify
Figure 11.3.20: |M12(x+y)| (principal value) for -3x3 and -3y3. There is a cut along the negative real axis. Magnify