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Regular sequences associated with the Noumi-Yamada equations with a large parameter

In: Algebraic Analysis of Differential Equations

Author

Listed:
  • Takashi Aoki

    (Kinki University, Department of Mathematics)

  • Naofumi Honda

    (Hokkaido University, Department of Mathematics)

Abstract

We consider the system of algebraic equations that defines the leading terms of formal solutions to the Noumi-Yamada equations of even order and prove that the polynomial sequence associated with the system is a regular sequence.

Suggested Citation

  • Takashi Aoki & Naofumi Honda, 2008. "Regular sequences associated with the Noumi-Yamada equations with a large parameter," Springer Books, in: Takashi Aoki & Hideyuki Majima & Yoshitsugu Takei & Nobuyuki Tose (ed.), Algebraic Analysis of Differential Equations, pages 45-53, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-73240-2_6
    DOI: 10.1007/978-4-431-73240-2_6
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