Thanks a lot for your great videos, they are extremely helpfull. I have 1 question about the power of x in Jn (minute 5:00), here its 2k+n, but in the Jp's ive seen you define so far, this power stops at 2k. Why is this, or did i find a rare error? ps. the link to Jim Lambers document is not working.
The link to the Jim Lambers' document is this: www.math.usm.edu/math/lambers/mat415/lecture16.pdf. But I still don't understand why the power of 2 in the denominator was removed? It should be (k+n)!², but it changed to (k+n).
Hi! Loving these videos but small question: at 3:50, why is J(-n)=(-1)^nJ(n)? I couldn't figure out where this property comes from. Thank you very much in advance.
Hello, I need a help from you. I was looking into the lecture notes of Prof. Jim Lambers (link: www.math.usm.edu/math/lambers/mat415/lecture16.pdf). In the part where Y_n is derived, a result is used for calculating the ratio of psi(z) to Gamma(z) when z tends to an integer -n (or negative n). Can you kindly explain how this limits comes about to be?
You did in 5 minutes what my professor couldn't in half of a week: Explaining it clearly. Thanks!
Glad I could help!
Appreciate your effort. Very nicely explained
these videos are my drugs
Thanks a lot for your great videos, they are extremely helpfull. I have 1 question about the power of x in Jn (minute 5:00), here its 2k+n, but in the Jp's ive seen you define so far, this power stops at 2k. Why is this, or did i find a rare error? ps. the link to Jim Lambers document is not working.
The link to the Jim Lambers' document is this: www.math.usm.edu/math/lambers/mat415/lecture16.pdf. But I still don't understand why the power of 2 in the denominator was removed? It should be (k+n)!², but it changed to (k+n).
my problem is where this special linear combination came from
my book doesn't explain it either
exceptional approach talent.. dear sir, u r 1 of a kind, truly remarkable.. all the best for ur future shows..
Hi! Loving these videos but small question: at 3:50, why is J(-n)=(-1)^nJ(n)? I couldn't figure out where this property comes from. Thank you very much in advance.
Use the power series representation of the Bessel function and reindex the sum using the poles of the gamma function.
Thank you so much I'm glad I found your channel !
thank you for your videos
Hello, I need a help from you. I was looking into the lecture notes of Prof. Jim Lambers (link: www.math.usm.edu/math/lambers/mat415/lecture16.pdf). In the part where Y_n is derived, a result is used for calculating the ratio of psi(z) to Gamma(z) when z tends to an integer -n (or negative n). Can you kindly explain how this limits comes about to be?
Thank you!
Better audio quality
Is for the first summation (n-1) not infinity?
Can you tell me the time that summation comes up?
Oh, it wasn't LA hospital rules... my bad
How can anybody use something so long? It is disappointing to come all this way with you and not be able to finish.
Hi could you prove the hypothesis that "Potatoes are the best thing in this world"
I am plebian,...
:)