19 thoughts on “Mod-04 Lec-09 Analytic continuation and the gamma function (Part I)”

Minor board mistake: While writing down the Stirling formula, Prof. Balakrishnan wrote O(n²), when he really meant O(1/n²), although it should be clear from his explanation that it is indeed O(1/n²)

Bad camera work towards the end obscured this albeit well-known formula relating Beta with Gamma: https://upload.wikimedia.org/math/8/2/c/82ca496ff32648b81803c55966e01738.png

I'm a french student in Superior and Special Mathematics, and apart from some notation differences those lectures are very good and instructive for me !

sir u r excellent your lecture is excellent bt movement of camera is creating disturbance to understand properly..so please try to fix the camera which can cover the blackboard constantly…it's moving according to the movement of teacher.

Interesting lecture but SURELY (dangerous word in maths i know) the part around 20min just isn't rigourous. When he makes the new gamma function with the 1/z at the start although this new function appears to be defined for z>-1 rather than z>0, but that's only because he has assumed that z>0 to make it work, so to say that it's defined for z>-1 too doesn't seem rigourous. Perhaps I've missed something but it appears he's just ignoring a subtlety to get it to work

Minor board mistake: While writing down the Stirling formula, Prof. Balakrishnan wrote O(n²), when he really meant O(1/n²), although it should be clear from his explanation that it is indeed O(1/n²)

Bad camera work towards the end obscured this albeit well-known formula relating Beta with Gamma: https://upload.wikimedia.org/math/8/2/c/82ca496ff32648b81803c55966e01738.png

Brilliant lectures !

My Windows 7 Calculator can calculate up to 3248.77 factorial 🙂

I'm a french student in Superior and Special Mathematics, and apart from some notation differences those lectures are very good and instructive for me !

Excellent lecture and lecturer !

Such a nice lecture, superb. Thank you very much for posting it.

excellent sir

Brilliant !

what an outsanding lecture of such an interesting topic.

Perfect. Amazing. I love it. Fantastic.

Best lecture

sir u r excellent your lecture is excellent bt movement of camera is creating disturbance to understand properly..so please try to fix the camera which can cover the blackboard constantly…it's moving according to the movement of teacher.

amazing lectures . #nptelhrd you guys are the best .

Can sme explaine to me why he refered to Zwhile calculate the first term of eq at 20:52

Interesting lecture but SURELY (dangerous word in maths i know) the part around 20min just isn't rigourous. When he makes the new gamma function with the 1/z at the start although this new function appears to be defined for z>-1 rather than z>0, but that's only because he has assumed that z>0 to make it work, so to say that it's defined for z>-1 too doesn't seem rigourous. Perhaps I've missed something but it appears he's just ignoring a subtlety to get it to work

WOW. Thats Clear !

I've been watching this video ever since I started learning calculus, and now everything is starting to make sense

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