The fact those series weren't giving log,exp,trig or finite polymials made me think there weren't pretty. Studying them presently just make me understand that Euler too may be discovered the exp function as a series before giving it that cool notation. For those who haven't done advanced maths, those special functions usually look not natural. But when we see that a function is born as a series which is solution to a differential equation, all of them there for become natural. For me the most terrifying of all is the hypergeometric function that has 4 inputs. 😂
Extremely beautiful as is your habit! You introduced two special functions I have no idea of... Food for thought and further digging for me... That's intriguing! Thanks! I think you have some discord between your mind on the one hand and your tongue and hands on the other, they are competing and jumping ahead of each other 😂😂 At 3:25 you missed the one half before the Beta function then at 6:15 you corrected it inadvertently and later at 15:25 you had the same conflict, which you realised and corrected immediately... No harm done. I really enjoy your videos Kamal jan. Keep up with the good work!
Very violent result. It's cool those monstrous series expansion are denoted with pretty inoffensive letters.
@@leroyzack265 😂
Hi,
"terribly sorry about that" : 2:22 , 5:13 , 10:52 , 12:34 , 14:46 , 16:47 , 17:31 ,
"ok, cool" : 2:30 , 3:21 , 5:29 , 7:20 , 10:17 , 12:50 .
The fact those series weren't giving log,exp,trig or finite polymials made me think there weren't pretty. Studying them presently just make me understand that Euler too may be discovered the exp function as a series before giving it that cool notation. For those who haven't done advanced maths, those special functions usually look not natural. But when we see that a function is born as a series which is solution to a differential equation, all of them there for become natural. For me the most terrifying of all is the hypergeometric function that has 4 inputs. 😂
Love them nested functions! Respect. 👊
trigg snacc
Excellent
Shout-out to all the Balrogs watching from the deep places of the earth
I watch from the depths
wasn't very relevant to my current calculus course but i seemed to enjoy it as much as i could o7
epic
Extremely beautiful as is your habit! You introduced two special functions I have no idea of... Food for thought and further digging for me... That's intriguing! Thanks!
I think you have some discord between your mind on the one hand and your tongue and hands on the other, they are competing and jumping ahead of each other 😂😂 At 3:25 you missed the one half before the Beta function then at 6:15 you corrected it inadvertently and later at 15:25 you had the same conflict, which you realised and corrected immediately... No harm done.
I really enjoy your videos Kamal jan. Keep up with the good work!
Maybe it would behave a little better if you integrated from 0 to 2pi
Could you possibly use the complex trig functions for this out of curiosity?
That could work
i respectfully disagree
hi bro
Hey mate