Polynomials Associated with Reciprocation
نویسنده
چکیده
Polynomials are defined recursively in various ways associated with reciprocation; e.g., Sn+1(x)/Tn+1(x) = Sn(x)/Tn(x) ± Tn(x)/Sn(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.
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