Digital Library of Mathematical Functions

About the Project

28 Mathieu Functions and Hill’s Equation Modified Mathieu Functions 28.20 Definitions and Basic Properties 28.22 Connection Formulas

§28.21 Graphics

Notes:: Figures 28.21.1–28.21.6 were produced at NIST.
Keywords:: modified Mathieu functions
Permalink:: http://dlmf.nist.gov/28.21

¶ Radial Mathieu Functions: Surfaces

Keywords:: modified Mathieu functions, radial Mathieu functions

See accompanying text

Visualization Help

Figure 28.21.1: $\mathop{{\mathrm{Mc}^{{(1)}}_{{0}}}\/}\nolimits\!\left(x,h\right)$ for $0\leq h\leq 3$ , $0\leq x\leq 2$ .

Magnify

Symbols:: $\mathop{{\mathrm{Mc}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function, : parameter and : real variable
Referenced by:: §28.21
Permalink:: http://dlmf.nist.gov/28.21.F1
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 28.21.2: $\mathop{{\mathrm{Mc}^{{(1)}}_{{1}}}\/}\nolimits\!\left(x,h\right)$ for $0\leq h\leq 3$ , $0\leq x\leq 2$ .

Magnify

Symbols:: $\mathop{{\mathrm{Mc}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function, : parameter and : real variable
Permalink:: http://dlmf.nist.gov/28.21.F2
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 28.21.3: $\mathop{{\mathrm{Mc}^{{(2)}}_{{0}}}\/}\nolimits\!\left(x,h\right)$ for $0.1\leq h\leq 2$ , $0\leq x\leq 2$ .

Magnify

Symbols:: $\mathop{{\mathrm{Mc}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function, : parameter and : real variable
Permalink:: http://dlmf.nist.gov/28.21.F3
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 28.21.4: $\mathop{{\mathrm{Mc}^{{(2)}}_{{1}}}\/}\nolimits\!\left(x,h\right)$ for $0.2\leq h\leq 2$ , $0\leq x\leq 2$ .

Magnify

Symbols:: $\mathop{{\mathrm{Mc}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function, : parameter and : real variable
Permalink:: http://dlmf.nist.gov/28.21.F4
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 28.21.5: $\mathop{{\mathrm{Ms}^{{(1)}}_{{1}}}\/}\nolimits\!\left(x,h\right)$ for $0\leq h\leq 3$ , $0\leq x\leq 2$ .

Magnify

Symbols:: $\mathop{{\mathrm{Ms}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function, : parameter and : real variable
Permalink:: http://dlmf.nist.gov/28.21.F5
Encodings:: VRML, X3D, pdf, png

See accompanying text

Visualization Help

Figure 28.21.6: $\mathop{{\mathrm{Ms}^{{(2)}}_{{1}}}\/}\nolimits\!\left(x,h\right)$ for $0.2\leq h\leq 2$ , $0\leq x\leq 2$ .

Magnify

Symbols:: $\mathop{{\mathrm{Ms}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function, : parameter and : real variable
Referenced by:: §28.21
Permalink:: http://dlmf.nist.gov/28.21.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. 28.20 Definitions and Basic Properties 28.22 Connection Formulas

Choose format for 3D interactive visualization

Please see Visualization Help for details, and Customize to change your choice, or for other customizations.