Patterns of Continued Fractions for the Analogues ofeand Related Numbers in the Function Field Case

Abstract

Patterns for simple continued fractions of the analogues of (xe^2/f+y)/(ze^2/f+w) in theF_q[t] case are described. In contrast to the classical case where they consist of arithmetic progressions, in this case they involve an interesting inductive scheme of block repetition and reversals, especially forq=2.