Open Access
2010 A transformation formula for Appell's hypergeometric function $F_1$ and common limits of triple sequences by mean iterations
Keiji Matsumoto
Tohoku Math. J. (2) 62(2): 263-268 (2010). DOI: 10.2748/tmj/1277298648
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 $F_1$.

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Copyright © 2010 Tohoku University
Keiji Matsumoto "A transformation formula for Appell's hypergeometric function $F_1$ and common limits of triple sequences by mean iterations," Tohoku Mathematical Journal 62(2), 263-268, (2010). https://doi.org/10.2748/tmj/1277298648
Published: 2010
Vol.62 • No. 2 • 2010
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