§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 $x$ : 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 $x$ : 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

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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 $x$ : real variable
Permalink:: http://dlmf.nist.gov/9.3.F3
Encodings:: VRML, X3D, pdf, png

See accompanying text

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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 $x$ : real variable
Permalink:: http://dlmf.nist.gov/9.3.F4
Encodings:: VRML, X3D, pdf, png

See accompanying text

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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 $x$ : real variable
Permalink:: http://dlmf.nist.gov/9.3.F5
Encodings:: VRML, X3D, pdf, png

See accompanying text

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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 $x$ : real variable
Permalink:: http://dlmf.nist.gov/9.3.F6
Encodings:: VRML, X3D, pdf, png

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