Symbol:

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

`Derivative`.This operator is equivalent to

`ComplexDerivative`except that whereas`ComplexDerivative`is undefined on a branch cut (where the function is not complex differentiable),`ComplexBranchDerivative`gives the complex derivative of the analytically continued function across the branch cut.Definitions:

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

ComplexBranchDerivative | $\frac{d}{d z}\, f\!\left(z\right)$ | Complex derivative, allowing branch cuts |

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

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

Source code for this entry:

Entry(ID("96f695"), SymbolDefinition(ComplexBranchDerivative, ComplexBranchDerivative(Call(f, z), z, z), "Complex derivative, allowing branch cuts"), 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 on a branch cut (where the function is not complex differentiable),", SourceForm(ComplexBranchDerivative), "gives the complex derivative of the analytically continued function across the branch cut."))