Tag Archives: Functional iteration
On Ernst Schröder
Three brief sets of notes on Schröder’s interests in mathematics. On Ernst Schröder (pdf) See also p. 36 of “A singular mathematical promenade” by E. Ghys on the Schröder numbers. (Alternate spellings: Schroder, Schroeder.)
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 simple formula for calculating the Bernoulli numbers from the Stirling … Continue reading
Posted in Math
Tagged Abel polynomials, Appell matrices, Appell sequences, Bell polynomials, Bernoulli polynomials, Compositional inverse, Falling factorials, Functional composition, Functional iteration, Hyperbinomial polynomials, Lambert W-function, Matrix cojugation, Multiplicative inverse, Pascal matrix, Reciprocal polynomials, Sheffer matrices, Sheffer polynomials, Stirling polynomials of the first kind, Stirling polynomials of the second kind, Umbral calculus, umbral compositional inverse, Umbral conjugation
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Shadows of Simplicity 