Search for dissertations about: "real-rooted polynomials"
Found 3 swedish dissertations containing the words real-rooted polynomials.
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1. On q-Narayana numbers and real-rooted polynomials in combinatorics
Abstract : .... READ MORE
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2. Polynomial Sequences Generated by Linear Recurrences : Location and Reality of Zeros
Abstract : In this thesis, we study the problem of location of the zeros of individual polynomials in sequences of polynomials generated by linear recurrence relations.In paper I, we establish the necessary and sufficient conditions that guarantee hyperbolicity of all the polynomials generated by a three-term recurrence of length 2, whose coefficients are arbitrary real polynomials. READ MORE
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3. Combinatorics and zeros of multivariate polynomials
Abstract : This thesis consists of five papers in algebraic and enumerative combinatorics. The objects at the heart of the thesis are combinatorial polynomials in one or more variables. We study their zeros, coefficients and special evaluations. Hyperbolic polynomials may be viewed as multivariate generalizations of real-rooted polynomials in one variable. READ MORE