10 Bessel FunctionsModified Bessel Functions10.25 Definitions10.27 Connection Formulas

§10.26 Graphics

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Permalink:

http://dlmf.nist.gov/10.26

See also:

Annotations for Ch.10

Contents

1. §10.26(i) Real Order and Variable
2. §10.26(ii) Real Order, Complex Variable
3. §10.26(iii) Imaginary Order, Real Variable

§10.26(i) Real Order and Variable

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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

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Symbols:

$I_{\nu }\left(z\right)$: modified Bessel function of the first kind, $K_{\nu }\left(z\right)$: modified Bessel function of the second kind and $x$: real variable

Permalink:

http://dlmf.nist.gov/10.26.F1

Encodings:

pdf, png

See also:

Annotations for §10.26(i), §10.26 and Ch.10

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Symbols:

$\mathrm{e}$: base of natural logarithm, $I_{\nu }\left(z\right)$: modified Bessel function of the first kind, $K_{\nu }\left(z\right)$: modified Bessel function of the second kind and $x$: real variable

Permalink:

http://dlmf.nist.gov/10.26.F2

Encodings:

pdf, png

See also:

Annotations for §10.26(i), §10.26 and Ch.10

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Symbols:

$I_{\nu }\left(z\right)$: modified Bessel function of the first kind, $x$: real variable and $\nu$: complex parameter

Permalink:

http://dlmf.nist.gov/10.26.F3

Encodings:

Vizualization, pdf, png

See also:

Annotations for §10.26(i), §10.26 and Ch.10

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Symbols:

$K_{\nu }\left(z\right)$: modified Bessel function of the second kind, $x$: real variable and $\nu$: complex parameter

Permalink:

http://dlmf.nist.gov/10.26.F4

Encodings:

Vizualization, pdf, png

See also:

Annotations for §10.26(i), §10.26 and Ch.10

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Symbols:

$I_{\nu }\left(z\right)$: modified Bessel function of the first kind, $x$: real variable and $\nu$: complex parameter

Permalink:

http://dlmf.nist.gov/10.26.F5

Encodings:

Vizualization, pdf, png

See also:

Annotations for §10.26(i), §10.26 and Ch.10

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Symbols:

$K_{\nu }\left(z\right)$: modified Bessel function of the second kind, $x$: real variable and $\nu$: complex parameter

Permalink:

http://dlmf.nist.gov/10.26.F6

Encodings:

Vizualization, pdf, png

See also:

Annotations for §10.26(i), §10.26 and Ch.10

§10.26(ii) Real Order, Complex Variable

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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

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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.

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Symbols:

${\tilde{I}}_{\nu }\left(x\right)$: modified Bessel function of the first kind of imaginary order, ${\tilde{K}}_{\nu }\left(x\right)$: modified Bessel function fo the second kind of imaginary order and $x$: real variable

Keywords:

graphs, modified Bessel functions, of imaginary order

Permalink:

http://dlmf.nist.gov/10.26.F7

Encodings:

pdf, png

See also:

Annotations for §10.26(iii), §10.26 and Ch.10

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Symbols:

${\tilde{I}}_{\nu }\left(x\right)$: modified Bessel function of the first kind of imaginary order, ${\tilde{K}}_{\nu }\left(x\right)$: modified Bessel function fo the second kind of imaginary order and $x$: real variable

Keywords:

graphs, modified Bessel functions, of imaginary order

Permalink:

http://dlmf.nist.gov/10.26.F8

Encodings:

pdf, png

See also:

Annotations for §10.26(iii), §10.26 and Ch.10

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Symbols:

${\tilde{I}}_{\nu }\left(x\right)$: modified Bessel function of the first kind of imaginary order, ${\tilde{K}}_{\nu }\left(x\right)$: modified Bessel function fo the second kind of imaginary order and $x$: real variable

Keywords:

graphs, modified Bessel functions, of imaginary order

Permalink:

http://dlmf.nist.gov/10.26.F9

Encodings:

pdf, png

See also:

Annotations for §10.26(iii), §10.26 and Ch.10

ⓘ

Symbols:

${\tilde{K}}_{\nu }\left(x\right)$: modified Bessel function fo the second kind of imaginary order and $x$: real variable

Keywords:

graphs, modified Bessel functions, of imaginary order

Permalink:

http://dlmf.nist.gov/10.26.F10

Encodings:

pdf, png

See also:

Annotations for §10.26(iii), §10.26 and Ch.10

10.25 Definitions10.27 Connection Formulas

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