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        Special values of the hypergeometric function

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        Publication date
        2017
        Author
        Gugten, T.E. van der
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        Summary
        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.
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        https://studenttheses.uu.nl/handle/20.500.12932/26219
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