A transformation formula for Appell's hypergeometric function $F_1$ and common limits of triple sequences by mean iterations
Keiji Matsumoto
Source: Tohoku Math. J. (2) Volume 62, Number 2
(2010), 263-268.
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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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1277298648
Digital Object Identifier: doi:10.2748/tmj/1277298648
Zentralblatt MATH identifier: 05780341
Mathematical Reviews number (MathSciNet): MR2663456
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