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11 Struve and Related FunctionsStruve and Modified Struve Functions

§11.3 Graphics

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Permalink:
http://dlmf.nist.gov/11.3
See also:
Annotations for Ch.11
Contents
  1. §11.3(i) Struve Functions
  2. §11.3(ii) Modified Struve Functions

§11.3(i) Struve Functions

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Notes:
These graphics were produced at NIST.
Permalink:
http://dlmf.nist.gov/11.3.i
See also:
Annotations for §11.3 and Ch.11
See accompanying text
Figure 11.3.1: 𝐇ν⁡(x) for 0≤x≤12 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.2: 𝐊ν⁡(x) for 0<x≤16 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.3: 𝐇ν⁡(x) for 0≤x≤12 and ν=−3,−2,−32,−1,−12. Magnify
See accompanying text
Figure 11.3.4: 𝐊ν⁡(x) for 0<x≤16 and ν=−4,−3,−2,−1,0. If ν=−12,−32, …, then 𝐊ν⁡(x) is identically zero. Magnify
See accompanying text
Figure 11.3.5: 𝐇ν⁡(x) for 0≤x≤8 and −4≤ν≤4. Magnify 3D Help
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Figure 11.3.6: 𝐊ν⁡(x) for 0≤x≤8 and −4≤ν≤4. Magnify 3D Help
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Figure 11.3.7: |𝐇0⁡(x+i⁢y)| for −8≤x≤8 and −3≤y≤3. Magnify 3D Help
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Figure 11.3.8: |𝐊0⁡(x+i⁢y)| (principal value) for −8≤x≤8 and −3≤y≤3. There is a cut along the negative real axis. Magnify 3D Help
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Figure 11.3.9: |𝐇12⁡(x+i⁢y)| (principal value) for −8≤x≤8 and −3≤y≤3. There is a cut along the negative real axis. Magnify 3D Help
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Figure 11.3.10: |𝐊12⁡(x+i⁢y)| (principal value) for −8≤x≤8 and −3≤y≤3. There is a cut along the negative real axis. Magnify 3D Help
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Figure 11.3.11: |𝐇1⁡(x+i⁢y)| for −8.5≤x≤8.5 and −3≤y≤3. Magnify 3D Help
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Figure 11.3.12: |𝐊1⁡(x+i⁢y)| (principal value) for −8≤x≤8 and −3≤y≤3. There is a cut along the negative real axis. Magnify 3D Help

§11.3(ii) Modified Struve Functions

ⓘ
Notes:
These graphics were produced at NIST.
Permalink:
http://dlmf.nist.gov/11.3.ii
See also:
Annotations for §11.3 and Ch.11
See accompanying text
Figure 11.3.13: 𝐋ν⁡(x) for 0≤x<4.38 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.14: 𝐌ν⁡(x) for 0≤x≤16 and ν=0,12,1,32,2,3. Magnify
See accompanying text
Figure 11.3.15: 𝐋ν⁡(x) for 0≤x<4.25 and ν=−3,−2,−32,−1,−12. Magnify
See accompanying text
Figure 11.3.16: 𝐌ν⁡(x) for 0<x≤16 and ν=−3,−2,−32,−1,−12. Magnify
See accompanying text
Figure 11.3.17: 𝐋ν⁡(x) for 0≤x≤5.6 and −4≤ν≤4. Magnify 3D Help
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Figure 11.3.18: 𝐌ν⁡(x) for 0≤x≤8 and −4≤ν≤4. Magnify 3D Help
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Figure 11.3.19: |𝐌−12⁡(x+i⁢y)| (principal value) for −3≤x≤3 and −3≤y≤3. There is a cut along the negative real axis. Magnify 3D Help
See accompanying text
Figure 11.3.20: |𝐌12⁡(x+i⁢y)| (principal value) for −3≤x≤3 and −3≤y≤3. There is a cut along the negative real axis. Magnify 3D Help
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