Sökning: "Hypergeometric polynomials"
Hittade 4 avhandlingar innehållade orden Hypergeometric polynomials.
1. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials
Sammanfattning : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. LÄS MER
2. Tropical aspects of real polynomials and hypergeometric functions
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
3. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations
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
4. Hypergeometric functions in several complex variables
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