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The Common Limit of a Quadruple Sequence and the Hypergeometric Function Fd of Three Variables

Published online by Cambridge University Press:  11 January 2016

Takayuki Kato and
Keiji Matsumoto
Takayuki Kato
Affiliation:
MEC INC., 2-6 Futuka, Aoba-ku Sendai 980-0802, Japan katou-t@mec-inc.co.jp
Keiji Matsumoto
Affiliation:
Department of Mathematics Hokkaido University, Sapporo 060-0810, Japan matsu@math.sci.hokudai.ac.jp
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Abstract

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We study a quadruple sequence and express its common limit by Lauricella’s hypergeometric function FD (¼,¼,¼.¼, 1; z1, z2, z3)of three variables. We give a functional equation of FD , which is the key to get our expression of the common limit.

Keywords

26A1833C65

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 195 , 2009, pp. 113 - 124
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

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