# Tag Archives: Compositional inversion

## Compositional Inverse Operators and Sheffer Sequences

When considering operator inverses, one usually considers multiplicative inverses. As noted earlier in several entries, particularly, “Bernoulli and Blissard meet Stirling … ” (BBS), we see compositional inverse pairs of operators playing an important role in making associations among important … Continue reading

## Depressed Equations and Generalized Catalan Numbers

Discriminating Deltas, Depressed Equations, and Generalized Catalan Numbers is a set of notes on the the relation of generating functions of the generalized Catalan numbers, e.g., OEIS-A001764, to the compositional inverse of and the tangent envelope of associated discriminant curves. Added … Continue reading

Posted in Math
Tagged Catalan numbers, Compositional inversion, Determinants, Dirac delta function, Discriminant curves and tangent envelope, Discriminants, Functional equations for Fuss-Catalan numbers, Fuss-Catalan numbers, Generalized Catalan numbers, Graphical solutions of depressed equations, Lagrange inversion, Laplace transform, Legendre transform, Power series
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