Tag Archives: Reversion

Formal group laws and binomial Sheffer sequences

Posted on January 23, 2018 by Tom Copeland

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 Binomial Sheffer sequences, Composition, Creation and annihilation operators, Differential operators, Expansion of FGL, Finite operator calculus, Formal group laws FGL, Inversion, Ladder, Power series, Raising and lowering, Reversion, Symmetric polynomials, Umbral calculus | 1 Comment

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

Posted on November 9, 2008 by Tom Copeland

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 Associahedra, exponential generating function, face polynomials, H polynomials, Inversion, Lagrange inversion, Ordinary generating function, Permutahedra, Permutohedra, Reciprocal, Reversion, Stasheff polytopes | Leave a comment

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Tag Archives: Reversion

Formal group laws and binomial Sheffer sequences

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

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