Recent content by chamilka

Thank you sudharaka. I am checking the reference you suggested. I hope that by considering the Beta integrals it can be proved. Let me to try it! :D

Hi all, I am working with some beta functions. I want to show that the following is positive and bounded between 0 and 1. Is it possible to show this? $$ \frac{ \frac{B( a + b , \frac{2}{ c} )}{B(a, \frac{2}{c}) } - \big\{\frac{B( a + b , \frac{1}{ c} )}{B(a, \frac{1}{c}) }\big\}^{2} }{...

Thank you very much Sudharaka. I got some idea about the power series and radius of convergence from the wiki articles and from the way you explained that my infinite series is in deed a finite series I got answer to my question without troubling more about PS and RoC. I honestly express my...

and Thank you daigo and CaptainBlack for your kind LateX teaching.. Special thanks to CaptainBlack who just edited my post..

Hi everyone! I have got this series in a part of my research. I need to check if this is a convergent series and if so, what is the radius of the convergence? Here is the series.. \[\sum_{i=0}^{\infty}(-1)^{i}{b-1\choose i}B(y+ac+ci,\,n-y+1)\] Sorry if my LateX code is not visible( I am...

Thank you Jameson for your kind support. I am very lucky to be a mart of Math Help boards.

Thank you Sudharaka. Here I got a more clear proof for my question. This is very great! Btw I have posted a new post here It's regarding Beta functions. If you can please help me there too.. Thanks again. Also quoted here:

Hi everyone! I got two versions of one particular function and now I need to show those two versions are equivalent. For that I need to show the follwing, Is it possible to show this by using the properties of Beta functions, Gaussian hypergeometric function etc? Thanks in advance!