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Composition, Conjugation, and the Umbral Calculus–Part I
Relationships among a set of Appell and binomial Sheffer sequences derived from the function , its compositional inverse, and their multiplicative inverses are re-explored in the pdf below, and a...
View ArticleComposition, Conjugation, and the Umbral Calculus II: Partition polynomials
The pdf below is a continuation of the notes referenced in the previous post on relations among sequences of Sheffer polynomials with emphasis on general partition polynomials for composition and...
View ArticleConjugate Appells for the Catalans
Following the formalism of the previous two posts, the pdf below gives conjugate Appell sequences associated with the chameleon-like Catalan numbers. Conjugate Appells for the Catalans (pdf)
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