Abstract
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 $F_1$.
Citation
Keiji Matsumoto. "A transformation formula for Appell's hypergeometric function $F_1$ and common limits of triple sequences by mean iterations." Tohoku Math. J. (2) 62 (2) 263 - 268, 2010. https://doi.org/10.2748/tmj/1277298648
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