ON THE DIVERGENCE IN THE GENERAL SENSE OF q-CONTINUED FRACTION ON THE UNIT CIRCLE
نویسنده
چکیده
We show, for each q-continued fraction G(q) in a certain class of continued fractions, that there is an uncountable set of points on the unit circle at which G(q) diverges in the general sense. This class includes the Rogers-Ramanujan continued fraction and the three Ramanujan-Selberg continued fraction. We discuss the implications of our theorems for the general convergence of other q-continued fractions, for example the Göllnitz-Gordon continued fraction, on the unit circle.
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