E-mail:
Tel.: (+43-1) 4277-50455
Office hours: by appointment, OMP1, Room 11.124
This lecture course with integrated exercises and examination [LVA-Nr. 250125 VU, 4 hours, 7.00 ECTS credits] runs from October 6, 2022 until January 27, 2023. Classes meet Thursdays from 08:00 until 09:30, and Fridays from 13:15 until 14:45, in Seminar Room 8 (SR8), OMP1, second floor. The course is held in-person (unless otherwise announced).
Registration/Deregistration via u:space.
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 homework will be assigned. By arrangement individual students will present sample solutions 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, and (as time permits) q-series, theta functions, and 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. Homework will be sporadically checked. In the second half of the course each student shall give a short 15-20 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 active participation, presented solutions of homework problems, and of the short presentation, will be assessed.