3]Complex Function & Analytic Function in Hindi - Complex Analysis - Engineering Mathematics

Опубликовано: 18 Декабрь 2017
на канале: YSR EduTech

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We will understand Complex Function and Analytic Function in Hindi. We will understand each function one by one.

Analogous to the calculus of real functions, notions of derivatives and integrals of complex functions can be developed.
In Calculus chapter, we had studied that derivation and integration for real functions. Now, in the complex analysis, we will understand derivation and integration for complex function.

Complex Function:
It is the function whose values are complex numbers or a function consisting of complex numbers. Complex numbers we have covered in the first video.
w = f(z) w is function of z where z is complex number.
The complex number is a combination of real part and an imaginary part. z = x + iy
w = f(z) that is the function of f of z is written as = u + iv where u is the real part and v is the imaginary part. z is dependent on two variables x and y. w is dependent on f (z). So we can say that, the real part u will be dependent on real part x and y, imaginary part v will be dependent on x and y.

Example based on complex function is explained in the video tutorial.

Analytic Function:
Any function f(z) is said to be analytic at point z = z0 in domain D if:
f(z) is differentiable at z = z0
f(z) is differentiable at neighbourhood points at z = z0

Differentiable Function is explained in the video tutorial.

Examples based on Complex Function and Analytic Function will be carried out in next video tutorial.

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