A transformation formula for Appell's hypergeometric function $F_1$ and common limits of triple sequences by mean iterations
Matsumoto, Keiji
Tohoku Math. J. (2), Tome 62 (2010) no. 1, p. 263-268 / Harvested from Project Euclid
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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 $F_1$.
Publié le : 2010-05-15
Classification:  Hypergeometric function,  arithmetic-geometric mean,  mean iteration,  26A18,  33C65 
@article{1277298648,
     author = {Matsumoto, Keiji},
     title = {A transformation formula for Appell's hypergeometric function $F\_1$ and common
				limits of triple sequences by mean iterations},
     journal = {Tohoku Math. J. (2)},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 263-268},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277298648}
}

Matsumoto, Keiji. A transformation formula for Appell's hypergeometric function $F_1$ and common
				limits of triple sequences by mean iterations. Tohoku Math. J. (2), Tome 62 (2010) no. 1, pp.  263-268. http://gdmltest.u-ga.fr/item/1277298648/