Tag Archives: Creation operator
Stirling Raisings
The pdf below presents three creation / raising ops for an avatar of the refined Stirling partition polynomials of the second kind (OEIS A036040), also associated with Scherk, Touchard, and Steffensen, but most commonly linked to Bell and Faa di … Continue reading
Posted in Math
Tagged Appell sequences, Bell polynomials, compositional partition polynomials, Creation operator, Differential operators, Faa di Bruno partition polynomials, Ladder operators, Polynomial sequences, Raising operator, Stirling partition polynomials of the second kind, Umbral calculus
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A Creation Op, Scaled Flows, and Operator Identities
Motivated by operational identities in “Enumerative geometry, tau-functions and Heisenberg–Virasoro algebra” by Alexandrov, I’ve explored the exponential mapping of the creation / raising op , a generalization of the raising op of one family of Hermite polynomials. Both ops have … Continue reading