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# Monthly Archives: August 2015

## A Class of Differential Operators and the Stirling Numbers

The differential operator with can easily be expanded in terms of the operators by considering its action on

Posted in Math
Tagged Associahedra, Bell polynomials, Differential operators, Falling factorials, Generalized Dobinski relation, Generalized Stirling numbers, Lah polynomials, Lie derivatives, Moebius transformation, Rising factorials, SL2 group, Stirling numbers of the first kind, Stirling numbers of the second kind, Umbral calculus, Umbral inverse pair, Witt-Lie algebra
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## Fractional calculus and interpolation of generalized binomial coefficients

Draft Interpolation of the generalized binomial coefficients underlie the representation of a particular class of fractional differintegro operators by convolution integrals and Cauchy-like complex contour integrals.

## Newton Interpolation and the Derivative in Finite Differences

Relations between the normalized Mellin transform (MT) and Newton interpolation (NI) can shed some light on the validity of a finite difference formula for the derivative alluded to in the MathOverflow question MO-Q: Derivative in terms of finite differences. From … Continue reading