Dear All Friends, I am currently working on a project which needs some orthogonality integration formulae of Laguerre polynomials. I referred worlfram's math function site http://functions.wolfram.com/Polynomials/LaguerreL3/21/02/01/ and get three seemingly useful ones. However, as very natural exercises, when I made tests by setting (p=1,alpha=lambda+1,beta=lambda,m=n) in the third equation of the above web-page and try to get the first one, I always cannot accomplish the goal. So I suspect the inter-consistances of the three integration formulae in the above web-page. Is here someone professional in orthogonality polynomials and would like to resolve my suspicious? Or can here someone recommend me some materials so that I can learn and derive out the desired integration formulae by myself? Thank you very much!