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19D081SF - Special Functions

Course specification
Course title Special Functions
Acronym 19D081SF
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 Mathematics 1, Mathematics 2
      The goal To enable PhD students to research in the field of orthogonal polynomials, Bessel functions, hyper-geometric functions and approximations, as well as in their application in physics, electromagnetics, telecommunications, process control. PhD Thesis, as the outcome was the result of a comprehensive research in these areas as well as in related in the direction of applied mathematics.
      The outcome PhD Thesis, as the outcome would be the result of a comprehensive research in these areas as well as in related ones to the direction of applied mathematics.
      Contents
      Contents of lectures Orthogonal systems in Hilbert space. Classical orthogonal polynomials. Various generalizations. Formulas for differentiation and integration. Generating functions.Special cases of classical orthogonal polynomials. Polynomials orthogonal on semicircle. Hyper-geometric functions and their q-analogues. Bessel functions.
      Contents of exercises No
      Literature
      1. D. S. Mitrinović: Introduction to Special Functions. Gradjevinska knjiga Publisher, Belgrade, 1990. in Serbian
      2. W. W. Bell: Special Functions for Scientists and Engineers, Dover Books on Mathematics, 2004. (Original title)
      3. G.E.Andrews, Richard Askey, Ranjan Roy, Special Functions, Cambridge Univ. Press,2001. (Original title)
      4. Y. L. Luke: The Special Functions and Their Approximations,. Vols. I & II. Academic Press, New York, 1969. (Original title)
      5. G. V. Milovanović: Numerical analysis - Parts I and II. Naučna knjiga Publishers, 1991.
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      8
      Methods of teaching lectures and auditory exercises, seminars
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures 10 Test paper 25
      Practical lessons 0 Oral examination 25
      Projects 20
      Colloquia
      Seminars 20