Search for dissertations about: "Hypergeometric polynomials"
Found 4 swedish dissertations containing the words Hypergeometric polynomials.
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1. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials
Abstract : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. READ MORE
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2. Tropical aspects of real polynomials and hypergeometric functions
Abstract : 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. READ MORE
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3. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations
Abstract : 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. READ MORE
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4. Hypergeometric functions in several complex variables
Abstract : 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, ... READ MORE