Monthly Archives: June 2023
Reps of the lowering / destruction / annihilation operator for binomial Sheffer polynomial sequences
Just posted a belated response concerning these reps to the question “Trying to characterize an ;umbral shift‘” on Math Stack Exchange posted by the creator of the YouTube video The Shadowy World of Umbral Calculus. The analysis includes a presentation … Continue reading →
Posted in Math
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Tagged annihilation operator, Appell raising operators, Appell Sheffer polynomial sequences, Bernoulli polynomials, binomial Sheffer polynomial sequences, conjugation of derivative operator, destruction operator, Differential operators, Exponential generating functions, lowering operator, operational calculus, reciprocal integers, Stirling numbers of the first kind, Stirling numbers of the second kind, Todd operator, Umbral calculus, Umbral composition, umbral inverses, umbral substitution operators
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