Tour of Special Functions:

Filter: - Description
- Before you get started...
- Number Series
- Gamma Functions
- Gamma, Log Gamma, Digamma, Trigamma, Polygamma
- Gamma Ratios, Incomplete/Inverses, and Derivatives of Gamma Functions
- Factorials and Binomial Coefficients
- Beta Functions
- Error Functions
- Polynomials
- Legendre (and Associated) Polynomials
- Laguerre (and Associated) Polynomials
- Hermite Polynomials
- Chebyshev Polynomials
- Spherical Harmonics
- Bessel Functions
- Hankel Functions
- Airy Functions
- Elliptic Integrals
- Jacobi Elliptic Functions
- Zeta Functions
- Exponential Integrals
- Basic Functions
- Sinus Cardinal (Sinc) and Hyperbolic Sinus Cardinal Functions, Inverse Hyperbolic Functions
- Owen's T Function

Boost library Special Functions: usage, bounds and plots

An array of Special Functions supplied by the Boost library. The library's online documentation serves as the primary reference for the following functions.

Many of the functions are only valid in certain numerical ranges. The following tour will show you plots that illustrate the behavior of the functions, their ranges and asymptotes.

Define the plotting functions in the next section, then you can use the Table of Contents menu to jump between function families.

Define the following functions that will lay out the plots for you:

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

Be sure to define `~layOutPlots`

and `~multiPlot`

at the top of the page.

helpfile source: https://github.com/supercollider/supercollider/tree/3.13/HelpSource/Guides/Tour-of-Special-Functions.schelp

link::Guides/Tour-of-Special-Functions::

link::Guides/Tour-of-Special-Functions::