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# Tag Archives: Fuss-Catalan numbers

## Compositional Inverse Pairs, the Inviscid Burgers-Hopf Equation, and the Stasheff Associahedra

Compositional Inverse Pairs, the Inviscid Burgers-Hopf Equation, and the Stasheff Associahedra: A brief note (pdf) on some relations among these topics, including the Catalan and Fuss-Catalan numbers. References are provided linking the analysis with the distribution of eigenvalues of random … Continue reading

## Depressed Equations and Generalized Catalan Numbers

Discriminating Deltas, Depressed Equations, and Generalized Catalan NumbersĀ 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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