Symbol:

`MeromorphicDerivative`— $\frac{d}{d z}\, f\!\left(z\right)$ — Complex derivative, allowing polesThe call syntax for this operator is the same as for

`Derivative`.This operator is equivalent to

`ComplexDerivative`except that whereas`ComplexDerivative`is undefined at a pole,`MeromorphicDerivative`gives`UnsignedInfinity`( ${\tilde \infty}$ ) at a pole.Definitions:

Fungrim symbol | Notation | Short description |
---|---|---|

MeromorphicDerivative | $\frac{d}{d z}\, f\!\left(z\right)$ | Complex derivative, allowing poles |

Derivative | $\frac{d}{d z}\, f\!\left(z\right)$ | Derivative |

ComplexDerivative | $\frac{d}{d z}\, f\!\left(z\right)$ | Complex derivative |

UnsignedInfinity | ${\tilde \infty}$ | Unsigned infinity |

Source code for this entry:

Entry(ID("4c6780"), SymbolDefinition(MeromorphicDerivative, MeromorphicDerivative(Call(f, z), z, z), "Complex derivative, allowing poles"), Description("The call syntax for this operator is the same as for", SourceForm(Derivative), "."), Description("This operator is equivalent to", SourceForm(ComplexDerivative), "except that whereas", SourceForm(ComplexDerivative), "is undefined at a pole,", SourceForm(MeromorphicDerivative), "gives", SourceForm(UnsignedInfinity), "(", UnsignedInfinity, ")", "at a pole."))