Complex Analysis: what is an analytic function?

Here are the necessary and sufficient conditions to make a complex valued function analytic.

Complex analysis lectures:

If you like the videos and would like to support the channel:

You can follow me on Instagram for write ups that come in handy for my videos:

My LinkedIn:

[saeida.alghamdi]

Excellent presentation … but I suggest the pace be a bit slower to avoid making some minor errors that could spoil the final results … 🌴🌿

[MikeMagTech]

I am really enjoying your complex analysis series.

[bzfrsic]

hey :)) great video. i believe there are some typos!
5:05: fifth line :u(x_0, y_0) + iv(x_0, y_0) instead of u(x_0, y_0) - iv(x_0, y_0)
12:45: second line - i du/dy instead of -i dv/dx

[DKAIN_]

Can't wait for hyperbolic trig functions...hope they will come soon

[ezcostta]

Great video! 🎉🎉 Please, make one on analytic continuation!!

[anupamamehra]

hi maths 505 thanks for this knowledge.... i wanted to ask something... the 2D complex plane in mathematics is obtained by duplicating the x axis and rotating it at an angle of 90 deg, thus we get the real and imaginary axes.... but does there exist a 3D plane as well? can we add another axis to create the 3D plane? if so, then what could it represent? maybe : (a) + (b) i + (c) m, where m is another unit like i? can we define it so as to make division by zero easier to comprehend? just like i was invented to make sense of sqrts of negative numbers...maybe we can define it like : m = 1/0 and make use of it like i thanks

[spiderjerusalem]

how did u take to finish complex analysis course🤔