On the values of continued fractions: q-series

نویسنده

  • Tapani Matala-aho
چکیده

Using the Poincaré–Perron theorem on the asymptotics of the solutions of linear recurrences it is proved that for a class of q-continued fractions the value of the continued fraction is given by a quotient of the solution and its q-shifted value of the corresponding qfunctional equation. r 2003 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 124  شماره 

صفحات  -

تاریخ انتشار 2003