Amazing but in definition of isolated singularity your showing the point z0 doesn't belong to open set U but in picture you drawn inside domain U? Or you meant the empty part as U?
@@brightsideofmaths Yes, I misread the definition, since the order is the greatest k such that c_-k is zero without including that maximum (assuming it exists). Thanks for clarify it.
When we needed him the most, he comes back.
sin(z)/z^n, sin(1/z) ... These are famous functions! Thanks for putting this course together.
This channel is a treasure
Thank you very much :) And thank you for your support!
Thank you father,you save my exam
Thank you for the support!
Amazing series! Please keep making the videos :)
Thank you for the great series here 💯
Glad you like them!
Amazing but in definition of isolated singularity your showing the point z0 doesn't belong to open set U but in picture you drawn inside domain U? Or you meant the empty part as U?
Yes, it's not in U :)
these videos are so great and super helpful! thank you so much:))
Glad you like them!
Thank you so much!!!!!
Thank you :)
Hello. Once I saw this video, I had a question, why does 1/z^2 has a pole in z = 0 of order 2 since the principal part of its Laurent series is 1/z^2?
Yes, the Laurent series is 1/z^2, so it's a pole of order 2.
@@brightsideofmaths But why is that true? Sorry for asking.
What do you mean? It's just the definition :)
@@brightsideofmaths Yes, I misread the definition, since the order is the greatest k such that c_-k is zero without including that maximum (assuming it exists). Thanks for clarify it.
@@luismaestres5050 You did it by yourself :)