Schwarz maps for the hypergeometric differential equation

Shoichi Fujimori; Masayuki Noro; Kentaro Saji; Takeshi Sasaki; Masaaki Yoshida

doi:10.1142/S0129167X15410025

Schwarz maps for the hypergeometric differential equation

Shoichi Fujimori, Masayuki Noro, Kentaro Saji, Takeshi Sasaki, Masaaki Yoshida

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We introduce the de Sitter Schwarz map for the hypergeometric differential equation as a variant of the classical Schwarz map. This map turns out to be the dual of the hyperbolic Schwarz map, and it unifies the various Schwarz maps studied before. An example is also studied.

Original language	English
Article number	1541002
Journal	International Journal of Mathematics
Volume	26
Issue number	6
DOIs	https://doi.org/10.1142/S0129167X15410025
Publication status	Published - Jun 16 2015

Keywords

Hypergeometric differential equation
Schwarz map
de Sitter Schwarz map
derived Schwarz map
hyperbolic Schwarz map

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1142/S0129167X15410025

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Fujimori, S., Noro, M., Saji, K., Sasaki, T., & Yoshida, M. (2015). Schwarz maps for the hypergeometric differential equation. International Journal of Mathematics, 26(6), [1541002]. https://doi.org/10.1142/S0129167X15410025

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keywords = "Hypergeometric differential equation, Schwarz map, de Sitter Schwarz map, derived Schwarz map, hyperbolic Schwarz map",

author = "Shoichi Fujimori and Masayuki Noro and Kentaro Saji and Takeshi Sasaki and Masaaki Yoshida",

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T1 - Schwarz maps for the hypergeometric differential equation

AU - Fujimori, Shoichi

AU - Noro, Masayuki

AU - Saji, Kentaro

AU - Sasaki, Takeshi

AU - Yoshida, Masaaki

PY - 2015/6/16

Y1 - 2015/6/16

N2 - We introduce the de Sitter Schwarz map for the hypergeometric differential equation as a variant of the classical Schwarz map. This map turns out to be the dual of the hyperbolic Schwarz map, and it unifies the various Schwarz maps studied before. An example is also studied.

AB - We introduce the de Sitter Schwarz map for the hypergeometric differential equation as a variant of the classical Schwarz map. This map turns out to be the dual of the hyperbolic Schwarz map, and it unifies the various Schwarz maps studied before. An example is also studied.

KW - Hypergeometric differential equation

KW - Schwarz map

KW - de Sitter Schwarz map

KW - derived Schwarz map

KW - hyperbolic Schwarz map

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