Sökning: "Hjalmar Rosengren"

Hittade 3 avhandlingar innehållade orden Hjalmar Rosengren.

  1. 1. 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

  3. 2. The Symmetric Meixner-Pollaczek polynomials

    Författare :Tsehaye Araaya; Sten Kaijser; Svante Janson; Hjalmar Rosengren; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Meixner-Pollaczek polynomial; Orthogonal polynomial; Polynomial operator; Inner product; Umbral calculus; Sheffer polynomial; Convolution type polynomial; Connection and linearization problem; 33C45; 05A40; 33D45; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

    Sammanfattning : The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by pn(λ)(x) instead of the standard notation pn(λ) (x/2, π/2), where λ > 0. LÄS MER

  4. 3. A kernel function approach to exact solutions of Calogero-Moser-Sutherland type models

    Författare :Farrokh Atai; Edwin Langmann; Hjalmar Rosengren; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Kernel functions; Calogero-Moser-Sutherland models; Ruijsenaarsvan Diejen models; Elliptic functions; Exact solutions; Source Identities; Chalykh- Feigin-Sergeev-Veselov type deformations; non-stationary Heun equation; Physics; Fysik;

    Sammanfattning : This Doctoral thesis gives an introduction to the concept of kernel functionsand their signicance in the theory of special functions. Of particularinterest is the use of kernel function methods for constructing exact solutionsof Schrodinger type equations, in one spatial dimension, with interactions governedby elliptic functions. LÄS MER