Open Access
June 2003 Simple Continued Fraction Expansions of Some Values of Certain Hypergeometric Functions
Takao Komatsu
Tsukuba J. Math. 27(1): 161-173 (June 2003). DOI: 10.21099/tkbjm/1496164567

Abstract

The hypergeometric series reduce to many elementary functions. Many of them are known to have the continued fraction expansions. Few of them for certain values, however, are known to have the simple continued fraction expansions which keep regularities. In this paper we show more simple continued fraction expansions holding regularities.

Citation

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Takao Komatsu. "Simple Continued Fraction Expansions of Some Values of Certain Hypergeometric Functions." Tsukuba J. Math. 27 (1) 161 - 173, June 2003. https://doi.org/10.21099/tkbjm/1496164567

Information

Published: June 2003
First available in Project Euclid: 30 May 2017

zbMATH: 1045.11006
MathSciNet: MR1999242
Digital Object Identifier: 10.21099/tkbjm/1496164567

Rights: Copyright © 2003 University of Tsukuba, Institute of Mathematics

Vol.27 • No. 1 • June 2003
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