Tag Archives: Raising operator
(m)-Associahedra and (-m)-Noncrossing Partition Polynomials as Moments of Umbral Inverse Appell Polynomial Sequences
Numerous relations between the pair of sets of (m)-associahedra and (-m)-noncrossing partitions / (-m)-Narayana partition polynomials can be deduced from treating them as the moments of an umbral inverse pair of Appell-Sheffer polynomials sequences. (m)-Associahedra and (-m)-Noncrossing Partition Polynomials as … Continue reading
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
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
Shadows of Simplicity 