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13D081SF - Special Functions

Course specification
Course title Special Functions
Acronym 13D081SF
Study programme Electrical Engineering and Computing
Module Applied Mathematics
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. Д.С.Митриновић: Увод у специјалне функције. Грађевинска књига Београд,1990
      2. Г. В. Миловановић: Нумеричка анализа . Научна књига Београд, 1989.
      3. G.E.Andrews, Richard Askey, Ranjan Roy, Special Functions, Cambridge Univ. Press,2001.
      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 Test paper 70
      Practical lessons Oral examination
      Projects
      Colloquia
      Seminars 30