Special values of the hypergeometric function

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Beukers, prof.dr. F.
dc.contributor.author	Gugten, T.E. van der
dc.date.accessioned	2017-07-20T17:01:05Z
dc.date.available	2017-07-20T17:01:05Z
dc.date.issued	2017
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/26219
dc.description.abstract	This thesis is about the Gauss hypergeometric function. Using Schwarz' theorem, we give a formula to calculate special values of the Gauss hypergeometric function; this formula involves a modular function with respect to a subgroup of the special linear group of dimension 2, this subgroup is commensurable with the modular group consisting of invertible 2-by-2 matrices with integer entries. Moreover, we use the analytic continuation of an identity of power series to find some more special values.
dc.description.sponsorship	Utrecht University
dc.format.extent	954623
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	Special values of the hypergeometric function
dc.type.content	Master Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Gauss hypergeometric function, hypergeometric function, modular functions
dc.subject.courseuu	Mathematical Sciences