Sökning: "real-rooted polynomials"

Hittade 3 avhandlingar innehållade orden real-rooted polynomials.

1. 1. On q-Narayana numbers and real-rooted polynomials in combinatorics

   Författare :Petter Brändén; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : .... LÄS MER

3. 2. Polynomial Sequences Generated by Linear Recurrences : Location and Reality of Zeros

   Författare :Innocent Ndikubwayo; Boris Shapiro; Rikard Bögvad; Tamás Forgacs; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; real-rooted polynomials; generating functions; discriminants; Tran s conjecture; Toeplitz matrices; Mathematics; matematik;

   Sammanfattning : 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. LÄS MER

4. 3. Combinatorics and zeros of multivariate polynomials

   Författare :Nima Amini; Petter Bränden; Jim Haglund; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : 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. LÄS MER