Complex Analysis 15 | Laurent Series

[@Sarah-pu8un]

Jetzt habe ich es endlich verstanden! Konnte mit meinem Uni Skript gar nichts anfangen. Danke!

[@maxdemuynck9850]

best video I've found on the topic, thanks!

[@brightsideofmaths]

Thanks a lot :) And thanks for your support!

[@МахойЮти]

Мне рекомендуется это в 12 часов ночи. Довольно интересно.

[@mastershooter64]

will you cover complex functions of several variables in this series?

[@brightsideofmaths]

I try to do this in the end :)

[@saimasiddiqua5288]

hello, could you make a video about how to study new topic of mathematics, some tricks and strategy to follow. like, when i start a new topic i get stuck on one page for hours to understand and then take too much time to finish whole chapter. i dont have a lot of time. if i get some idea from you how to improve learning math properly or you make a video that would be helpful. sorry for long comments. Thank you for your patience.

[@abublahinocuckbloho4539]

Where you combined the 2 series the subscript to b became negative but you kept the exponent K positive? This is confusing as you redefined reciprocal series into a power series by changing how K was defined, so what you did with combining the series doesn't logically follow

[@brightsideofmaths]

I don't really understand what you mean. Sorry.

[@samas69420]

@@brightsideofmaths i think he is talking about what you did at 4:50 when you rewrite the sum for b leaving exponent k positive but changing the interval for k to [1,inf]

[@brightsideofmaths]

@@samas69420 Thanks. Do you also see a problem with that?

[@samas69420]

​@@brightsideofmaths not really but maybe it might be a bit complicated to understand at first glance, i think the misunderstanding is that abu assumed that the sum from 1 to +inf of b_{-k}*z^k should give the same result as the sum from -1 to -inf of b_{k}*z^k while if i understood it correctly it's not the same but it is the power series that we study using the same reasoning explained in the first part of the video to make considerations on where the series from -1 to -inf of b_{k}*z^k converges and it is done that way since because of the negative exponents the series from -1 to -inf of b_{k}*z^k is not a canonical power series

[@higifnr]

For anyone who is having the same issue, b_k = a_-k, so he went back to the original power series and replaced a_k with b_-k while ignoring the constant a0. I was quite confused myself and I hope I didn't get it wrong

[@fawkes__]

at 4:53 should it be z**-k or did I miss something?

[@brightsideofmaths]

No, it's correct like that.

[@bumeegabentharavithana2572]

wonderful video , by the way love the french accent too

[@brightsideofmaths]

It's German but thanks :)

[@plegasus7308]

Good complex analysis book for someone who has done baby rudin?

[@Ernesto1317]

Krantz

[@MarkHadadcy26c]

goat 🐐 🐐

[@brightsideofmaths]

So you watched my video about the Monty-Hall problem? ;)

[@xtr3m385]

*_666 like!_*