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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, [email protected]
Keiji Matsumoto
Affiliation:
Department of MathematicsHokkaido University, Sapporo 060-0810, [email protected]
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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
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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