Partition analysis and symmetrizing operators
نویسندگان
چکیده
Using a symmetrizing operator, we give a new expression for the Omega operator used by MacMahon in Partition Analysis, and given a new life by Andrews and his coworkers. Our result is stated in terms of Schur functions. In his book ”Combinatory Analysis”, MacMahon introduced an Omega operator. Recently, Andrews et al [1–3] further developed the theory of Partition Analysis. We show in theorem 4 that the Omega operator can be expressed by a symmetrizing operator. As a consequence, we can formulate: Ω ≥ λ/ ∏
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 109 شماره
صفحات -
تاریخ انتشار 2005