Electrostatic potential of a charged disk

[Khaled Yasein]

How can I find the electrostatic potential of any point on a charged disk with radius R and surface charge density σ

 

[Jilang]

Is the disk conducting?

 

[Khaled Yasein]

Is the disk conducting?

no

 

[Jilang]

It looks like a difficult problem iif you need to find it at a point other than at the centre.

 

[Khaled Yasein]

It looks like a difficult problem iif you need to find it at a point other than at the centre.

I succeeded to get the electrostatic potential on the origin and on the rim of the disk but I'm still trying to get it anywhere on the disk

 

[Jilang]

In this article they use Bessel functions.
http://www.sciencedirect.com/science/article/pii/S0893965911002564
It looks pretty complicated, but I don't know about Bessel functions.