Some concrete shapes of degenerate Stokes curves of hypergeometric differential equations with a large parameter

• AOKI Takashi

• TANDA Mika

抄録

[Abstract]Although Stokes curves of differential equations with a large parameter are transcendental objects in general, in some degenerate cases they become real algebraic or semialgebraic sets and the defining equations are explicitly given for hypergeometric differential equations with a large parameter. Classically well-known curves, such as lemniscate and limacon appear for special values of parameters. Some explicit shapes play a role in a topological classification of Stokes curves of hypergeometric differential equations.

収録刊行物

• 近畿大学理工学部研究報告 = Journal of the Faculty of Science and Engineering, Kinki University

  近畿大学理工学部研究報告 = Journal of the Faculty of Science and Engineering, Kinki University (47), 5-8, 2011-10-01

  近畿大学理工学部

キーワード

• Hypergeometric differential equation
• Stokes curves

詳細情報

• CRID: 1573105977477280128
• NII論文ID: 120005736255
• ISSN: 03864928
• Web Site: http://id.nii.ac.jp/1391/00009754/
• 本文言語コード: en
• データソース種別:
  • CiNii Articles