Tag Archives: Reversion

Formal group laws and binomial Sheffer sequences

Given a compositional inverse pair and , i.e., , with with , , and ,  construct the binomial Sheffer sequence with the exponential generating function . Then the associated formal group law (FGL) may be expressed as Advertisements

Posted in Math | Tagged , , , , , , , , , , , , , | 1 Comment

The Refined Lives of the F- and H-Vectors of Associahedra

The compositional inversions noted in the Oct. 9-th entry “Flipping Functions with Permutohedra” have counterparts with respect to the associahedra, or Stasheff polytopes. The h-polynomials of the simplicial complexes dual to the associahedra (see the Narayana number triangle OEIS-A001263) can … Continue reading

Posted in Math | Tagged , , , , , , , , , , , | Leave a comment