The common limit of a quadruple sequence and the hypergeometric function $F_{D}$ of three variables
Takayuki Kato and Keiji Matsumoto
Source: Nagoya Math. J. Volume 195
(2009), 113-124.
Abstract
We study a quadruple sequence and express its common limit by Lauricella's hypergeometric function $F_{D}(\frac{1}{4}, \frac{1}{4}, \frac{1}{4}, \frac{1}{4}, 1; z_{1}, z_{2}, z_{3})$ of three variables. We give a functional equation of $F_{D}$, which is the key to get our expression of the common limit.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1252934374
Zentralblatt MATH identifier: 05611432
Mathematical Reviews number (MathSciNet): MR2552956
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