Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I've been getting Mathematica to do some integrals for me, which are typically returning sums of Meijer-G functions. When I try and obtain numerical values for these sums, some of my results have contained terms which Mathematica has refused to evaluate numerically; an example is

MeijerG[{{}, {}}, {{1, 7/6, 4/3, 4/3, 3/2, 5/3, 11/6}, {0, 5/6, 7/6, 4/3, 3/2, 5/3, 11/6}}, 0]

Inside a N[], Mathematica just spits back

N[%]= MeijerG[{{}, {}}, {{1., 1.16667, 1.33333, 1.33333, 1.5, 1.66667, 1.83333}, {0., 0.833333, 1.16667, 1.33333, 1.5, 1.66667, 1.83333}}, 0.]

A plot of the (real and imaginary parts of the) function

MeijerG[{{}, {}}, {{1, 7/6, 4/3, 4/3, 3/2, 5/3, 11/6}, {0, 5/6, 7/6, 4/3, 3/2, 5/3, 11/6}}, x]

suggests that it vanishes at the origin, and its limit as x->0 is zero. But the test PossibleZeroQ, applied to this function at zero argument, yields the result "False".

If anyone could explain to me what's going on here, I'd be grateful.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Mathematica: numerical non-evaluation of special functions

Loading...

Similar Threads for Mathematica numerical evaluation | Date |
---|---|

Mathematica Numerical Simulations | Dec 27, 2016 |

Mathematica Numerical vs. Monte-Carlo Simulations | May 2, 2016 |

Mathematica Error in Mathematica | Apr 18, 2016 |

Mathematica Working with numerical solutions in mathematica | Apr 8, 2015 |

Mathematica: Evaluating integral numerically | Jul 17, 2012 |

**Physics Forums - The Fusion of Science and Community**