Search for dissertations about: "q-discriminant"

Found 1 swedish dissertation containing the word q-discriminant.

2. 1. Topics in polynomial sequences defined by linear recurrences

   Author : INNOCENT NDIKUBWAYO; Boris Shapiro; Rikard Bøgvad; Tamás Forgács; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; recurrence relation; q-discriminant; generating function; polynomial sequence; support; real zeros; matematik; Mathematics;

   Abstract : This licentiate consists of two papers treating polynomial sequences defined by linear recurrences.In paper I, we establish necessary and sufficient conditions for the reality of all the zeros in a polynomial sequence {P_i} generated by a three-term recurrence relation P_i(x)+ Q_1(x)P_{i-1}(x) +Q_2(x) P_{i-2}(x)=0 with the standard initial conditions P_{0}(x)=1, P_{-1}(x)=0, where Q_1(x) and Q_2(x) are arbitrary real polynomials. READ MORE