Content-Length: 166831 | pFad | https://dlmf.nist.gov/./././bib/.././././././bib/.././.././../././././11.3.F12

6000 DLMF: §11.3 Graphics ‣ Struve and Modified Struve Functions ‣ Chapter 11 Struve and Related Functions

About the Project

11 Struve and Related Functions Struve and Modified Struve Functions 11.2 Definitions 11.4 Basic Properties

§11.3 Graphics

ⓘ

Permalink:: http://dlmf.nist.gov/11.3
See also:: Annotations for Ch.11

Contents

§11.3(i) Struve Functions

ⓘ

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: $\mathbf{H}_{\nu}\left(x\right)$ for $0\leq x\leq 12$ and $\nu=0,\frac{1}{2},1,\frac{3}{2},2,3$ . Magnify

See accompanying text — Figure 11.3.1: $\mathbf{H}_{\nu}\left(x\right)$ for $0\leq x\leq 12$ and $\nu=0,\frac{1}{2},1,\frac{3}{2},2,3$ . Magnify

See accompanying text — Figure 11.3.3: $\mathbf{H}_{\nu}\left(x\right)$ for $0\leq x\leq 12$ and $\nu=-3,-2,-\frac{3}{2},-1,-\frac{1}{2}$ . Magnify

See accompanying text — Figure 11.3.3: $\mathbf{H}_{\nu}\left(x\right)$ for $0\leq x\leq 12$ and $\nu=-3,-2,-\frac{3}{2},-1,-\frac{1}{2}$ . Magnify

See accompanying text — Figure 11.3.5: $\mathbf{H}_{\nu}\left(x\right)$ for $0\leq x\leq 8$ and $-4\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 11.3.5: $\mathbf{H}_{\nu}\left(x\right)$ for $0\leq x\leq 8$ and $-4\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 11.3.7: $\left|\mathbf{H}_{0}\left(x+iy\right)\right|$ for $-8\leq x\leq 8$ and $-3\leq y\leq 3$ . Magnify 3D Help

See accompanying text — Figure 11.3.7: $\left|\mathbf{H}_{0}\left(x+iy\right)\right|$ for $-8\leq x\leq 8$ and $-3\leq y\leq 3$ . Magnify 3D Help

See accompanying text — Figure 11.3.9: $|\mathbf{H}_{\frac{1}{2}}\left(x+iy\right)|$ (principal value) for $-8\leq x\leq 8$ and $-3\leq y\leq 3$ . There is a cut along the negative real axis. Magnify 3D Help

See accompanying text — Figure 11.3.9: $|\mathbf{H}_{\frac{1}{2}}\left(x+iy\right)|$ (principal value) for $-8\leq x\leq 8$ and $-3\leq y\leq 3$ . There is a cut along the negative real axis. Magnify 3D Help

See accompanying text — Figure 11.3.11: $\left|\mathbf{H}_{1}\left(x+iy\right)\right|$ for $-8.5\leq x\leq 8.5$ and $-3\leq y\leq 3$ . Magnify 3D Help

See accompanying text — Figure 11.3.11: $\left|\mathbf{H}_{1}\left(x+iy\right)\right|$ for $-8.5\leq x\leq 8.5$ and $-3\leq y\leq 3$ . 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: $\mathbf{L}_{\nu}\left(x\right)$ for $0\leq x<4.38$ and $\nu=0,\frac{1}{2},1,\frac{3}{2},2,3$ . Magnify

See accompanying text — Figure 11.3.13: $\mathbf{L}_{\nu}\left(x\right)$ for $0\leq x<4.38$ and $\nu=0,\frac{1}{2},1,\frac{3}{2},2,3$ . Magnify

See accompanying text — Figure 11.3.15: $\mathbf{L}_{\nu}\left(x\right)$ for $0\leq x<4.25$ and $\nu=-3,-2,-\frac{3}{2},-1,-\frac{1}{2}$ . Magnify

See accompanying text — Figure 11.3.15: $\mathbf{L}_{\nu}\left(x\right)$ for $0\leq x<4.25$ and $\nu=-3,-2,-\frac{3}{2},-1,-\frac{1}{2}$ . Magnify

See accompanying text — Figure 11.3.17: $\mathbf{L}_{\nu}\left(x\right)$ for $0\leq x\leq 5.6$ and $-4\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 11.3.17: $\mathbf{L}_{\nu}\left(x\right)$ for $0\leq x\leq 5.6$ and $-4\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 11.3.19: $|\mathbf{M}_{-\frac{1}{2}}\left(x+iy\right)|$ (principal value) for $-3\leq x\leq 3$ and $-3\leq y\leq 3$ . There is a cut along the negative real axis. Magnify 3D Help

See accompanying text — Figure 11.3.19: $|\mathbf{M}_{-\frac{1}{2}}\left(x+iy\right)|$ (principal value) for $-3\leq x\leq 3$ and $-3\leq y\leq 3$ . There is a cut along the negative real axis. Magnify 3D Help

11.2 Definitions 11.4 Basic Properties

© 2010–2024 NIST / Disclaimer / Feedback; Version 1.2.3; Release date 2024-12-15.

NIST

Site Privacy Accessibility Privacy Program Copyrights Vulnerability Disclosure No Fear Act Policy FOIA Environmental Policy Scientific Integrity Information Quality Standards Commerce.gov Science.gov USA.gov