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Zhelobenko–Stern formulas and \(B_n\) Toda wave functions

  • A. Galiullin,
  • S. Khoroshkin,
  • M. Lyachko

摘要

Using Zhelobenko–Stern formulas for the action of the generators of orthogonal Lie algebra in corresponding Gelfand–Tsetlin basis, we derive Mellin–Barnes presentations for the wave functions of \(B_n\) B n Toda lattice. They are in accordance with Iorgov–Shadura formulas.