Schwarz maps for the hypergeometric differential equation

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

Research output: Contribution to journalArticle

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 languageEnglish
Article number1541002
JournalInternational Journal of Mathematics
Volume26
Issue number6
DOIs
Publication statusPublished - 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)

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  • Cite this

    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