ABSTRACT

Years ago it seemed customary upon entering the study of a new set of polynomials to seek recurrence relations . . . by essentially a hitor-miss process. Manipulative skill was used and, if there was enough of it, some relations emerged; others might easily have been lurking around a corner without being discovered . . . The interesting problem of the pure recurrence relation for hypergeometric polynomials received probably its first systematic attack a t the hands of Sister Mary Celine Fasenmyer . . .