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Complex Logarithm Concepts and Solutions by 62Aniket Vishwakarma is a document available to read on EtoBox.
Logarithms of complex numbers are defined as any complex number w such that ew = z, where z is a non-zero complex number. [1] Since complex numbers have infinitely many logarithms, the complex logarithm is a multi-valued function rather than a single-valued one. [2] The principal value of the logarithm log(x + iy) is defined as logr + i(θ + 2nπ) where r and θ are the modulus and argument of x + iy. [3] The general value is written as Log(x + iy) and allows θ to take on any real value.
- Author
- 62Aniket Vishwakarma
- Language
- EN