 
Hello students, I am Dr. Gajendra Purohit and today we are going to discuss
'Gamma Function' and 'Beta Function'
In this video, I'll teach you
what is a gamma function and then we will solve questions based on it
and then in the next video, we will learn about 'beta function' and questions based on it
The main use of gamma and beta functions is in doing integration
where we have to perform complex integrations easily
The formula of the gamma function is
 
Students, let me tell you a few values of gamma
but let us first understand how to find the value of gamma
For finding the value of 'gamma 3'
we have to calculate the factorial of 2
that is equal to '2'
For finding the value of 'gamma 7'
we have to calculate the factorial of 6 i.e. 6X5X4X3X2X1
The value of gamma 3/2 is '1/2 gamma 1/2'
where value of gamma 1/2 is 'underoot pie'
I will tell you the case where gamma 1/2 is root pie
in the next videos i.e. beta function        
 (you can see it from the i-icon above)
I have told you how to find it
Now let me take a simple example
 
 
 
 
 
 
 
 
 
 
 
 
 
There is one more formula
let me make you understand
 
 
 
 
 
 
 
 
 
 
 
So we can solve it very easily with the help of gamma
Now let us discuss about the questions and proofs based on it
As I told you, the value of gamma(n+1) = n gamma (n)
just like I told you the value of gamma 7 is factorial of 6
we can also write it as '6 gamma 6'
and then, 6X5 gamma 5, and so on
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So this is how we solve such questions
I will take three to four more examples so as to make you understand the entire concept
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So this is how we solve such questions
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So this is how we solve such questions
I hope you are understanding my concepts and questions
now, I'll teach you how to solve questions of beta function and what is its concept
The previous videos that I have uploaded of Engineering mathematics and B.Sc mathematics
can be seen in the last screen
And in case you find any difficulty in finding any video
you can simply go to the playlist and see
Let me tell you that you also have good expectations from me as I have seen analyzed your comments
that have appreciations and ask doubts as well as rectify the mistakes as well
so I want to say that I solve the questions directly in front of you
and hence happen to make a few mistakes in the process
so I would suggest you focus more on the concept which is the real motive
so that you can solve questions
because a few mistakes are quite normal
please avoid them
and focus more on concept to improve yourself
 
Thank you so much for watching my video
Please keep commenting and sharing
