  Continued fractions whose elements are polynomial sequences have been
carefully studied mostly in the cases where the degree of the numerator
polynomial is less than or equal to two and the degree of the denominator
polynomial is less than or equal to one. Here we study cases of higher degree
for both numerator and denominator polynomials, with particular attention given
to cases in which the degrees are equal. We extend work of Ramanujan on
continued fractions with rational limits and also consider cases where the
limits are irrational.

Number Theory