Tag Archives: Simplices

Bernoulli Appells

The defining characteristic of the Bernoulli numbers operationally is that they are the basis of the unique Appell sequence, the Bernoulli polynomials, that “translate” simply under the generalized binomial transform (Appell property) and satisfy (for an analytic function, such as … Continue reading

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Goin’ with the Flow: Logarithm of the Derivative

Goin’ with the Flow: Logarithm of the Derivative Operator¬†is a pdf set of notes under construction on the relations between the commutator of the logarithm of the derivative operator, the Pincherle derivative,¬† Lie operator derivatives, and the two umbrally inverse … Continue reading

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The Vandermonde Matrix

On the Vandermonde Matrix: Some miscellaneous notes under construction on the Vandermonde matrix related to various MathOverflow questions and OEIS entries. The entry above, Goin’ with the Flow …, also contains some discussion of the Vandemonde matrix in the last … Continue reading

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