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Free Online Class – Special Functions: The Gamma Function

   
Dev Von De
Presented by:
Thursday, 30 July, 2009 8:00 PM To 8:45 PM (GMT+05:30) Chennai, Kolkata, Mumbai, New Delhi
Tags: Mathematics Math Maths Gamma Function Engineering Mathematics Advanced Mathematics (more)
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About the Class:

The Gamma function is one of the “special” functions in math… special due to its significance in analysis.

Lets start by defining the gamma function. Now, if you know the factorial, you know the gamma function. The gamma function is simply a generalization of our good old factorial.

Firstly, this is how we can define it mathematically…

(n being positive)

Now, how is it related to the factorial function…Lets have a look…

We integrate the above definition by parts & it gives us…

When we plug in the upper limit(infinity), the resulting form calls for the L Hopital’s rule & the value of the limit comes out to be 0.

Which gives us…

Now, take up the RHS…& apply the above definition furthur…
(assuming that n is a positive integer)

So, we have…



Read Full Post : http://pentamath.com/change/the-gamma-function/


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About the presenter: Dev Von De
Dev Von De is a teacher in Calculus & other maths disciplines.
Dev has a remarkable style of delivering the very advanced concepts useful for the various competitive exams in a very basic manner understandable to all.
He is H.O.D Mathematics at the B.P.M institute & has developed innovative ways of teaching mathematics to his students.
He is especially known teaching methods & techniques in Calculus.
He has also taught Vedic Mathematics apart from the other subjects since the last year and has got a great response. The methods of Vedic Mathematics are blessings given to us by The Aryans. The Vedas contain all the Sciences that we have come to know about, & those which we still need to discover.

To know more about Dev Von De, visit his blog PentaMath.com
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