Michael Schlosser

Special Functions

(winter semester 2017/18)


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

Office hours: by appointment, OMP1, Room 11.124

This lecture course [LVA-Nr. 250143, 4 hours, 6.0 ECTS credits] runs from October 4, 2017 until January 31, 2018, Wednesdays from 09:30 until 11:00 and Thursdays from 09:45 until 11:15 in the Seminar Room 7 (OMP1, 2nd floor).

Contents: This is a classical lecture course where the basics of the theory of Special Functions are conveyed. In particular, the following topics shall be covered: gamma function, beta function, hypergeometric functions, (special) orthogonal polynomials, Selberg integral, 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 online ressource of the University Library.

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

Examination topics: All the covered topics are a priori relevant for the exam. There is a written exam by appointment followed by debriefing and oral exam.

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