Pieri rule for the factorial Schur -functions

  • Soojin Cho

    Ajou University, Suwon, Republic of Korea
  • Takeshi Ikeda

    Okayama University of Science, Japan
Pieri rule for the factorial Schur $P$-functions cover
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Abstract

We prove an identity expressing the product of two factorial Schur -functions as an alternating sum of the factorial Schur -functions with explicitly defined coefficients depending on the deformation parameters. As an application, we derive the Pieri rule for the factorial Schur -functions.