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The following MuPAD^{®} functions represent the Dirac *δ*-distribution
and the Heaviside (step) function. You can use these functions as
input for your computations. MuPAD can return results in terms
of these functions:

MuPAD provides the following functions to represent the *β*-function, *Γ*-function,
and other related special functions. You can use these functions as
input for your computations. MuPAD can return results in terms
of these functions:

The following MuPAD functions represent the Riemann *ζ*-function
and the related dilogarithm and polylogarithm special functions. You
can use these functions as input for your computations. MuPAD can
return results in terms of these functions:

The following MuPAD functions represent the Bessel and Airy special functions. You can use these functions as an input for your computations. MuPAD can return results in terms of these functions:

The following MuPAD functions represent exponential and trigonometric integrals. You can use these functions as an input for your computations. MuPAD can return results in terms of these functions:

The following MuPAD functions represent the error functions (integrals of Gaussian distribution) and Fresnel functions. You can use these functions as input for your computations. MuPAD can return results in terms of these functions:

The following MuPAD functions represent the hypergeometric function, the more general Meijer G function, and related functions. You can use these functions as input for your computations. MuPAD can return results in terms of these functions:

`hypergeom` | Hypergeometric function |

`kummerU` | Confluent hypergeometric KummerU function |

`meijerG` | Meijer G function |

`whittakerM` | Whittaker's M function |

`whittakerW` | Whittaker's W function |

The following MuPAD functions represent the elliptic integrals of different kinds. You can use these functions as input for your computations. MuPAD can return results in terms of these functions:

`ellipticK` | Complete elliptic integral of the first kind |

`ellipticCK` | Complementary complete elliptic integral of the first kind |

`ellipticF` | Incomplete elliptic integral of the first kind |

`ellipticE` | Elliptic integral of the second kind |

`ellipticCE` | Complementary complete elliptic integral of the second kind |

`ellipticPi` | Elliptic integral of the third kind |

`ellipticCPi` | Complementary complete elliptic integral of the third kind |

`ellipticNome` | Elliptic nome |

The `lambertW`

function
represents the solutions of the equation *y* *e*^{y} = *x*.
You can use the function as input for your computations. MuPAD can
return results in terms of this function.

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