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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 currently learning LaTeX as said in the Forum rules), see the attached image below!

Here, a,b and c are any three positive real numbers and y=0,1,2,....n

Thank you for your kind support!!

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 currently learning LaTeX as said in the Forum rules), see the attached image below!

Here, a,b and c are any three positive real numbers and y=0,1,2,....n

Thank you for your kind support!!

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