- #1
tthivanka
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f(z)=1/(z^2-1)
Is this function analytical or not
Is this function analytical or not
tthivanka said:could u please show me how It is analytic on the set {z | z =/= 1 and z =/= -1}
A complex variable is a mathematical quantity that can take on both real and imaginary values. It is typically represented as z = x + iy, where x and y are real numbers and i is the imaginary unit.
The function of a complex variable is to map a complex number to another complex number. It is a function that takes in a complex input and produces a complex output.
Complex variables have numerous applications in mathematics, physics, and engineering. They are used to solve problems in fluid dynamics, electromagnetism, quantum mechanics, and signal processing.
A complex variable takes on both real and imaginary values, while a real variable only takes on real values. Additionally, complex variables have more complex properties and behaviors compared to real variables.
Complex variables are used in calculus to extend the concept of differentiation and integration to the complex plane. They allow for the analysis and manipulation of functions of complex variables, which is crucial in many areas of mathematics and physics.