# Monthly Archives: September 2014

## 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

## Differential Ops, Special Polynomials, Binomial Transforms, Interpolation, and the Inverse Mellin Transform

Differential Ops, Special Polynomials, Binomial Transforms, Interpolation, and the Inverse Mellin Transform: (pdf, under construction. ) Relations between differential operators represented in the two basis sets and and the underlying binomial transforms of the associated coefficients of the pairs of … Continue reading

Posted in Math
Tagged Associated Laguerre polynomials, Bell polynomials, Binomial transform, Differential operators, Euler transformations, Falling factorials, Finite differences, Generalized Dobinski relation, Inverse Mellin transform, Mellin transform, Modular forms and eigenfunctions, Newton interpolation, Number operator, Permutahedra face polynomials, Stirling numbers of the second kind, Touchard polynomials, Umbral composition
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