Functions of a Complex Variable- Lecture 2- Exponential Function & Logarithm For a Complex Argument by Sigurdur Helgason. Publication date 39448 Topics Maths, Analysis and Calculus, Complex Analysis, ...

Abstract. It poses the inverse problem that consists in finding the logarithm of a function. It shows that when the function is holomorphic in a simply connected domain, the solution at the inverse ...

A new algorithm for computing the complex logarithm and exponential functions is proposed. This algorithm is based on shift-and-add elementary steps, and it generalizes some algorithms by Briggs and ...

Visualising a complex function would usually involve four dimensions, but plotting its real and imaginary parts individually already reveals highly valuable information. Note how the graph of the ...

Abstract: Commonly known detail in context techniques for the two-dimensional Euclidean space enlarge details and shrink their context using mapping functions that introduce geometrical compression.

The std version of the `log(z)` function (in math.h) for a complex number `z` is typically 60-80% slower than writing your own function, even after optimizations ...

(Note: KSi already defines atanh and will not allow its redefinition.) Returns -0.5493061443340549+1.5707963267948966i, the correct complex number: Racket, Gauche ...

It poses the inverse problem that consists in finding the logarithm of a function. It shows that when the function is holomorphic in a simply connected domain , the solution at the inverse problem ...

Home > Schools > School of Engineering, Computing and Mathematics > Mathematical Sciences > Featured module: Real and complex analysis Featured module: Real and complex analysis Analysis is the branch ...