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13D081SF - Special Functions

Course specification
Course title Special Functions
Acronym 13D081SF
Study programme Electrical Engineering and Computing
Module
Type of study doctoral studies
Lecturer (for classes)
    Lecturer/Associate (for practice)
      Lecturer/Associate (for OTC)
        ESPB 9.0 Status elective
        Condition No
        The goal The course aims to enable PhD students to research in the field of orthogonal polynomials, Bessel functions, hypergeometric functions and approximations, as well as in their application in physics, electromagnetics, telecommunications, process control. PhDThesis , as the outcome was the result of a comprehensive research in these areas as well as in related to the direction of applied mathematics
        The outcome PhDThesis , as the outcome was the result of a comprehensive research in these areas as well as in related to the direction of applied mathematics
        Contents
        Contents of lectures Orthogonal systems in Hilbert space.Classical orthogonal polynomials and their properties. Various generalizations. Formulas for differentiation and integraciju.FunkcijGenerating functions.Special cases of classical orthogonal polinomials.Polinomi orthogonal orthogonal to the semicircle. Hypergeometric functions and their q-analogues. Bessel functions.
        Contents of exercises No
        Literature
        1. D.S.Mitrinović: Uvod u specijalne funkcije. Građevinska knjiga Beograd,1990 (Original title)
        2. G. V. Milovanović: Numerička analiza . Naučna knjiga Beograd, 1989. (Original title)
        3. G.E.Andrews, Richard Askey, Ranjan Roy, Special Functions, Cambridge Univ. Press,2001. (Original title)
        Number of hours per week during the semester/trimester/year
        Lectures Exercises OTC Study and Research Other classes
        6
        Methods of teaching lectures and auditory exercises, seminars
        Knowledge score (maximum points 100)
        Pre obligations Points Final exam Points
        Activites during lectures 0 Test paper 70
        Practical lessons 0 Oral examination 0
        Projects 0
        Colloquia 30
        Seminars 0