Lagrange à la Lah

 Lagrange à la Lah Part I and Lagrange à la Lah Part II are a set of notes on partition polynomials derived from binomial Sheffer sequences via umbral refinement, their relation to compositional inversion via the Laplace transform, and their characterization by umbral operator trees–the

  1. Bell / Bruno / Touchard partition polynomials
  2. Lah / Laguerre partition polynomials  (order -1)
  3. Stirling / cycle index polynomials (#s of the first kind / symmetric group)
  4. Lagrange partition polynomials
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