کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10325757 676805 2005 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Applicability of the q-analogue of Zeilberger's algorithm
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Applicability of the q-analogue of Zeilberger's algorithm
چکیده انگلیسی
The applicability or terminating condition for the ordinary case of Zeilberger's algorithm was recently obtained by Abramov. For the q-analogue, the question of whether a bivariate q-hypergeometric term has a qZ-pair remains open. Le has found a solution to this problem when the given bivariate q-hypergeometric term is a rational function in certain powers of q. We solve the problem for the general case by giving a characterization of bivariate q-hypergeometric terms for which the q-analogue of Zeilberger's algorithm terminates. Moreover, we give an algorithm to determine whether a bivariate q-hypergeometric term has a qZ-pair.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 39, Issue 2, February 2005, Pages 155-170
نویسندگان
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