Distributional Weight Functions and Orthogonal Polynomials.

摘要

It was proposed to 1) Examine the cauchy representation of the Jacobi polynomial weight function to see what happens as the contour over which it is integrated approaches the interval -1,1 on the real axis. (alpha <-1, beta < -1). 2) Do the same thing for the Laguerre polynomials after the Cauchy representation has been found (alpha < -1). 3) Examine the Pollaczek polynomials. 4) Examine other polynomial sets. (kr)