A transformation formula for Appell's hypergeometric function $F_1$ and common limits of triple sequences by mean iterations

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概要

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• In this paper, we give a transformation formula for Appell's hypergeometric function $F_1$. As applications of this formula, we show that some common limits of triple sequences given by mean iterations of 3-terms can be expressed by $F_1$.

著者

• Matsumoto Keiji

  Department Of Applied Physics Graduate School Of Engineering Yokohama National University

• Matsumoto Keiji

  Department Of Mathematics Hokkaido University

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