Sökning: "hypergeometric functions"

Visar resultat 1 - 5 av 11 avhandlingar innehållade orden hypergeometric functions.

  1. 1. Amoebas, Discriminants, and Hypergeometric Functions

    Författare :Lisa Nilsson; Mikael Passare; Maurice Rojas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; amoeba; coamoeba; discriminant; hypergeometric functions; Mellin transform; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; matematik;

    Sammanfattning : This thesis consists of six chapters. In Chapter 1 we give some historical background to the topic of the thesis together with the fundamental definitions and results that the thesis is based on. In Chapter 2 we study Mellin transforms of rational functions and investigate their analytic continuations. 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. 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

  5. 4. On Hypersurface Coamoebas and Integral Representations of A-Hypergeometric Functions

    Författare :Jens Forsgård; Boris Shapiro; Elizabeth Wulcan; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Sammanfattning : This thesis is concerned with coamoebas and their connection to integral representations A-hypergeometric functions. In the first part, we introduce the lopsidedness criterion for coamoebas, and define the lopsided coamoeba. We show that the lopsided coamoeba comes naturally equipped with an order map. LÄS MER

  7. 5. Cohomologies for String Amplitudes

    Författare :Carlos Rodriguez; Oliver Schlotterer; Lionel Mason; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; string theory; string amplitudes; hypergeometric functions; double copy; polylogarithms; Theoretical Physics; Teoretisk fysik;

    Sammanfattning : In this thesis we cover methods useful for the low-energy-expansion, or α’-expansion of string amplitudes. The task of α’-expanding a string amplitude can be divided into two steps: decomposing your string amplitude into a family of integrals, and figuring out how to α’-expand each integral in these families. LÄS MER