A hypergeometric problem

نویسنده

  • Wadim Zudilin
چکیده

For each n = 0, 1, 2, . . ., consider the following two rational functions: Rn(t) = (−1)n ( t + n 2 ) n ∏ l=1 (t − l)2 · n ∏ l=1 (t + n+ l)2 n ∏ l=0 (t + l)4 and R̃n(t) = n! n ∏ l=1 (t − l) n ∏ l=0 (t + l)2 n ∑ j=0 ( n j )2 (n+ j n ) n−1 ∏ l=0 (t − j+ l) n! . Problem 1. Prove that the following equality is valid for any n ≥ 0:

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 233  شماره 

صفحات  -

تاریخ انتشار 2009