Sökning: "Hypergeometric polynomials"

Hittade 4 avhandlingar innehållade orden Hypergeometric polynomials.

  1. 1. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials

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

    Sammanfattning : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. LÄS MER

  3. 2. Tropical aspects of real polynomials and hypergeometric functions

    Författare :Jens Forsgård; Boris Shapiro; Grigory Mikhalkin; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Amoeba; Tropical Geometry; Hypergeometric function; Geometry of zeros; Discriminant; Mathematics; matematik;

    Sammanfattning : The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros.First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. LÄS MER

  4. 3. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    Författare :Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Sammanfattning : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. LÄS MER

  5. 4. Hypergeometric functions in several complex variables

    Författare :Timour Sadykov; Mikael Passare; Bernd Sturmfels; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Analys;

    Sammanfattning : This thesis deals with hypergeometric functions in several complex variables and systems of partial differential equations of hypergeometric type. One of the main objects of study in the thesis is the so-called Horn system of equations: xiPi(θ)y(x) = Qi(θ)y(x), i = 1, ... LÄS MER