Abstract.
A linear independence measure is obtained for values of solutions of a certain system of functional equations. This result is then applied to a rather general class of q–hypergeometric series, for example to the values of q–analogues of exponential and Bessel functions at several algebraic points.
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Received: 18 October 2000 / Revised version: 2 August 2001 / Published online: 16 October 2002
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ID="★" The author is grateful to Alexander von Humboldt Foundation for support and to the Department of Mathematics of the University of Cologne for the kind hospitality. He also thanks Peter Bundschuh for many useful discussions.
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Väänänen, K. On linear independence of the values of generalized Heine series. Math. Ann. 325, 123–136 (2003). https://doi.org/10.1007/s00208-002-0372-y
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DOI: https://doi.org/10.1007/s00208-002-0372-y