Non-Terminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
نویسندگان
چکیده
منابع مشابه
Nonterminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
We present a systematic method for proving nonterminating basic hypergeometric identities. Assume that k is the summation index. By setting a parameter x to xqn, we may find a recurrence relation of the summation by using the q-Zeilberger algorithm. This method applies to almost all nonterminating basic hypergeometric summation formulas in the book of Gasper and Rahman. Furthermore, by comparin...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2008
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091506001313