Re: [math-fun] Gosperian PaIn physics?

I used to nonrigorously crank out conjectural identities (doubtless all now conquered by holonomics) by closing rectangular contours with non-integer sides, using the standard trick Prod(M,a,b) := Prod(M,a,oo).Prod(M,b+1,oo)^-1 . --rwg DWilson> I would wonder if a grid of matrices with path invariance could be generalized to a continuous surface of matrices with path invariance? This would require some notion of matrix product along a continuous path. If this were possible, perhaps we could formulate some smooth generalization for multinomial expressions and continued fractions. Better at imagining these things than doing them.