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Contiguous relations, Laplace's methods, and continued fractions for F-3(2)(1)

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/75783

Title: Contiguous relations, Laplace's methods, and continued fractions for F-3(2)(1)
Authors: Ebisu, Akihito Browse this author
Iwasaki, Katsunori Browse this author →KAKEN DB
Keywords: Generalized hypergeometric series
Continued fraction
Contiguous relation
Laplace's method
Issue Date: May-2019
Publisher: Springer
Journal Title: Ramanujan journal
Volume: 49
Issue: 1
Start Page: 159
End Page: 213
Publisher DOI: 10.1007/s11139-018-0039-2
Abstract: Using contiguous relations we construct an infinite number of continued fraction expansions for ratios of generalized hypergeometric series 3F2(1). We establish exact error term estimates for their approximants and prove their rapid convergence. To do so, we develop a discrete version of Laplace's method for hypergeometric series in addition to the use of ordinary (continuous) Laplace's method for Euler's hypergeometric integrals.
Rights: The final publication is available at Springer via https://dx.doi.org/10.1007/s11139-018-0039-2.
Type: article (author version)
URI: http://hdl.handle.net/2115/75783
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 岩崎 克則

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