Michael Schlosser

Special Functions

(winter semester 2020/21)


Tel.: (+43-1) 4277-50455

Office hours: by appointment, OMP1, Room 11.124

This lecture course with integrated exercises and examination [LVA-Nr. 250085 VU, 4 hours, 7.00 ECTS credits] runs from October 1, 2020 until January 28, 2021, Wednesdays and Thursdays from 09:45 until 11:15. It is held digitally. It is planned to use the videoconferencing tool BigBlueButton. (Relevant details will follow in due course.)

Registration/Deregistration via u:space.

  • Registration is open from Monday 14.09.2020 00:00 to Wednesday 30.09.2020 23:59
  • Deregistration is possible until Saturday 31.10.2020 23:59
  • Participation is restricted to maximal 25 participants.
    The course language is English.

    In addition to the lectures of the instructor, frequent discussions will be held. Also home work will be assigned. By arrangement individual students will upload sample solutions and present them online to all the participants.

    Contents: We will focus on the basics of the theory of Special Functions. In particular, the following topics shall be covered: gamma function, beta function, hypergeometric functions, (special) orthogonal polynomials, q-series, theta functions, elliptic functions.

    Literature: Selected sections from George E. Andrews, Richard Askey, and Ranjan Roy: Special Functions. Encyclopedia of Mathematics and Its Applications, vol. 71, Cambridge University Press, Cambridge, 1999.
    Freely available as an online ressource of the University Library.

    See also Tom Koornwinder's collection of some errata and comments of Andrews, Askey and Roy's book.

    Assessment and permitted materials: Participation and active cooperation (especially at the discussions) are requested. Home work will be sporadically checked. In the second half of the course each student shall give a short 15 minutes presentation (with his or her own prepared slides) on a Special Functions theme that has been agreed on with the instructor (such as a section of the book which was not covered in the course).

    Minimum requirements and assessment criteria: Regular and punctual participation is obligatory. The quality of the individual student's messages and presented solutions, and of the short presentation, will be assessed.

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