Search for dissertations about: "polynomials"

Showing result 6 - 10 of 133 swedish dissertations containing the word polynomials.

  2. 6. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials

    Author : Addisalem Abathun; Rikard Bögvad; Maurice Duits; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hypergeometric polynomials; Potential theory; Mathematics; matematik;

    Abstract : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. READ MORE

  4. 7. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Author : Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    Abstract : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. READ MORE

  5. 8. Combinatorics and zeros of multivariate polynomials

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

    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

  6. 9. Orthogonal Polynomials, Operators and Commutation Relations

    Author : John Musonda; Sergei Silvestrov; Sten Kaijser; Anatoliy Malyarenko; Natan Kruglyak; Irina Asekritova; Viktor Abramov; Mälardalens högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. READ MORE

  7. 10. Approximation of pluricomplex Green functions : A probabilistic approach

    Author : Azza Alghamdi; Maciej Klimek; Kaj Nyström; Anna Zdunik; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; pluricomplex Green function; pluriregular sets; Bernstein-Markov property; Bergman function; nearly orthonormal polynomials; orthogonal polynomials; Monte Carlo simulation; composite Julia sets; Julia sets; iterated function systems; the chaos game.;

    Abstract : This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. READ MORE