Fungrim home page

Fungrim entry: 4c6780

Symbol: MeromorphicDerivative ddzf ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Complex derivative, allowing poles
The 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
MeromorphicDerivativeddzf ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Complex derivative, allowing poles
Derivativeddzf ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Derivative
ComplexDerivativeddzf ⁣(z)\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), For(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."))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2020-08-27 09:56:25.682319 UTC