Polynomials Associated with Reciprocation
Department of Mathematics
University of Evansville
1800 Lincoln Avenue
Evansville, IN 47722
Polynomials are defined recursively in various ways associated with
reciprocation; e.g., Sn+1(x)/Tn+1(x) = Sn(x)/Tn(x) ±
Under certain conditions, the zeros of Sn
interlace those of Tn. Identities for
Sn, Tn and related
polynomials are derived, as well as recurrence relations and infinite sums
involving roots of polynomials.
Full version: pdf,
(Concerned with sequences
Received January 11, 2008;
revised version received March 18 2009.
Published in Journal of Integer Sequences, March 20 2009.
Journal of Integer Sequences home page