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8 Cards in this Set

  • Front
  • Back

Hdh

Dhhc

Gdgd

Xbbc

Dhfhdyf

Cbfhhff

Functions of complex variable

Limit of function


Continuity of function


(They both follow normal rules of real numbers)


Differentiability:


If the complex number is in terms of Z it is normal differentiation, otherwise you express it into it two parts and differentiate separately.



Differentiability implies continuity , the reverse is not the case.

Steps in function rules

Continuous ->differentiable->cr eqn->analytical ->harmonic

A function is harmonic if it follows Laplace equation


A harmonic conjugate can be found by expressing the imaginary part in terms of the real part.(by using CR relationship)


Or vice versa

Two harmonic function make an analytical function.


All analytical functions are perfect.

Principal value

W=InR+I(theta+2πk)

When you are given a fraction that the numerator and denominator have been raised to power , you should use exponential form of complex number to simplify the stuff.

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