Content-Length: 107297 | pFad | https://dlmf.nist.gov/./././././././../././bib/.././././.././.././././././10.26#ii.p1

DLMF: §10.26 Graphics ‣ Modified Bessel Functions ‣ Chapter 10 Bessel Functions

About the Project

10 Bessel Functions Modified Bessel Functions 10.25 Definitions 10.27 Connection Formulas

§10.26 Graphics

ⓘ

Permalink:: http://dlmf.nist.gov/10.26
See also:: Annotations for Ch.10

Contents

§10.26(i) Real Order and Variable

ⓘ

Keywords:: graphics, modified Bessel functions
Notes:: These graphics were produced at NIST.
Permalink:: http://dlmf.nist.gov/10.26.i
See also:: Annotations for §10.26 and Ch.10

See accompanying text — Figure 10.26.1: $I_{0}\left(x\right)$ , $I_{1}\left(x\right)$ , $K_{0}\left(x\right)$ , $K_{1}\left(x\right)$ , $0\leq x\leq 3$ . Magnify

See accompanying text — Figure 10.26.1: $I_{0}\left(x\right)$ , $I_{1}\left(x\right)$ , $K_{0}\left(x\right)$ , $K_{1}\left(x\right)$ , $0\leq x\leq 3$ . Magnify

See accompanying text — Figure 10.26.3: $I_{\nu}\left(x\right)$ , $0\leq x\leq 5$ , $0\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 10.26.3: $I_{\nu}\left(x\right)$ , $0\leq x\leq 5$ , $0\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 10.26.5: $I_{\nu}'\left(x\right)$ , $0\leq x\leq 5$ , $0\leq\nu\leq 4$ . Magnify 3D Help

See accompanying text — Figure 10.26.5: $I_{\nu}'\left(x\right)$ , $0\leq x\leq 5$ , $0\leq\nu\leq 4$ . Magnify 3D Help

§10.26(ii) Real Order, Complex Variable

ⓘ

Permalink:: http://dlmf.nist.gov/10.26.ii
See also:: Annotations for §10.26 and Ch.10

Apply (10.27.6) and (10.27.8) to §10.3(ii).

§10.26(iii) Imaginary Order, Real Variable

ⓘ

Notes:: These graphs were produced at NIST.
Referenced by:: §10.45
Permalink:: http://dlmf.nist.gov/10.26.iii
See also:: Annotations for §10.26 and Ch.10

For the notation, see §10.45.

See accompanying text — Figure 10.26.7: $\widetilde{I}_{1/2}\left(x\right)$ , $\widetilde{K}_{1/2}\left(x\right)$ , $0.01\leq x\leq 3$ . Magnify

See accompanying text — Figure 10.26.7: $\widetilde{I}_{1/2}\left(x\right)$ , $\widetilde{K}_{1/2}\left(x\right)$ , $0.01\leq x\leq 3$ . Magnify

See accompanying text — Figure 10.26.9: $\widetilde{I}_{5}\left(x\right)$ , $\widetilde{K}_{5}\left(x\right)$ , $0.01\leq x\leq 3$ . Magnify

See accompanying text — Figure 10.26.9: $\widetilde{I}_{5}\left(x\right)$ , $\widetilde{K}_{5}\left(x\right)$ , $0.01\leq x\leq 3$ . Magnify

10.25 Definitions 10.27 Connection Formulas

© 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