Digital Library of Mathematical Functions

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9 Airy and Related Functions Airy Functions 9.2 Differential Equation 9.4 Maclaurin Series

§9.3 Graphics

Keywords:: Airy functions
Permalink:: http://dlmf.nist.gov/9.3

Contents

§9.3(i) Real Variable
§9.3(ii) Complex Variable

§9.3(i) Real Variable

Notes:: These graphs were produced by NIST.
Keywords:: Airy functions
Referenced by:: §9.8(i)
Permalink:: http://dlmf.nist.gov/9.3.i

See accompanying text

Figure 9.3.1: $\mathop{\mathrm{Ai}\/}\nolimits\!\left(x\right)$ , $\mathop{\mathrm{Bi}\/}\nolimits\!\left(x\right)$ , $\mathop{M\/}\nolimits\!\left(x\right)$ . For $\mathop{M\/}\nolimits\!\left(x\right)$ see §9.8(i).

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Symbols:: $\mathop{\mathrm{Ai}\/}\nolimits\!\left(z\right)$ : Airy function, $\mathop{\mathrm{Bi}\/}\nolimits\!\left(z\right)$ : Airy function, $\mathop{M\/}\nolimits\!\left(z\right)$ : Airy modulus function and : real variable
Permalink:: http://dlmf.nist.gov/9.3.F1
Encodings:: pdf, png

See accompanying text

Figure 9.3.2: ${\mathop{\mathrm{Ai}\/}\nolimits^{{\prime}}}\!\left(x\right)$ , ${\mathop{\mathrm{Bi}\/}\nolimits^{{\prime}}}\!\left(x\right)$ , $\mathop{N\/}\nolimits\!\left(x\right)$ . For $\mathop{N\/}\nolimits\!\left(x\right)$ see §9.8(i).

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Symbols:: $\mathop{\mathrm{Ai}\/}\nolimits\!\left(z\right)$ : Airy function, $\mathop{\mathrm{Bi}\/}\nolimits\!\left(z\right)$ : Airy function, $\mathop{N\/}\nolimits\!\left(z\right)$ : Airy modulus function and : real variable
Permalink:: http://dlmf.nist.gov/9.3.F2
Encodings:: pdf, png

§9.3(ii) Complex Variable

Notes:: These surfaces were produced by NIST.
Keywords:: Airy functions
Referenced by:: §9.9(i)
Permalink:: http://dlmf.nist.gov/9.3.ii

In the graphics shown in this subsection, height corresponds to the absolute value of the function and color to the phase. See also About Color Map.

See accompanying text

Visualization Help

Figure 9.3.3: $\mathop{\mathrm{Ai}\/}\nolimits\!\left(x+iy\right)$ .

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Symbols:: $\mathop{\mathrm{Ai}\/}\nolimits\!\left(z\right)$ : Airy function and : real variable
Permalink:: http://dlmf.nist.gov/9.3.F3
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 9.3.4: $\mathop{\mathrm{Bi}\/}\nolimits\!\left(x+iy\right)$ .

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Symbols:: $\mathop{\mathrm{Bi}\/}\nolimits\!\left(z\right)$ : Airy function and : real variable
Permalink:: http://dlmf.nist.gov/9.3.F4
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 9.3.5: ${\mathop{\mathrm{Ai}\/}\nolimits^{{\prime}}}\!\left(x+iy\right)$ .

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Symbols:: $\mathop{\mathrm{Ai}\/}\nolimits\!\left(z\right)$ : Airy function and : real variable
Permalink:: http://dlmf.nist.gov/9.3.F5
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 9.3.6: ${\mathop{\mathrm{Bi}\/}\nolimits^{{\prime}}}\!\left(x+iy\right)$ .

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Symbols:: $\mathop{\mathrm{Bi}\/}\nolimits\!\left(z\right)$ : Airy function and : real variable
Permalink:: http://dlmf.nist.gov/9.3.F6
Encodings:: VRML, X3D, pdf, png

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 9.2 Differential Equation 9.4 Maclaurin Series

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