complex analysis

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Function of a Complex Variables

A complex function of a function of a complex variables is a function whose domain and range are subsets of the complex plane. This is also expressed by saying that the independent variable and the dependent variable both are complex numbers. If f(x) is analytic everywhere in the complex plane, it is called entire function. To distinguish analytic functions from generic complex-valued functions of complex variable, we use the notation f(x) for the former and …

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The Complex plane

The complex plane (or Argand plane or Gauss plane) is defined as a way to represent complex numbers geometrically. Basically, it’s a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis. The Complex Plane Cartesian Plane …

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The Complex Plane (Cartesian Plane)

Complex plane can be thought to be modified Cartesian plane, with the real part of a complex number represented by a distance along the x-axis, and the imaginary part by a displacement along the y-axis. The concept of the complex plane allows a geometric interpretation of complex numbers. The real part of complex numbers is represented in the x-axis and Imaginary part …

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Operation of Complex Numbers on Division and Substraction

The operation of complex numbers on Subtraction is simple in a way  that one have to do the normal subtraction Example: 1. (a-ib)-(c-id) . In this example, one is required to separate between Real part and Imaginary part. By doing so you’ll have (a-c)-i(b-d)  i.e (a-ib)-(c-id) = (a-c)-i(b-d)  Example: 2.                   …

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