Using Reiner's definition of Stirling numbers of the second kind in types B and D, we generalize two well known identities concerning the classical Stirling numbers of the second kind. The first relates them with Eulerian numbers and the second uses them as entries in a transition matrix between the elements of two standard bases of the polynomial ring in one variable.
Bagno E., Biagioli R., Garber D. (2019). Some identities involving second kind Stirling numbers of types B and D. Formal Power Series and Algebraic Combinatorics.
Some identities involving second kind Stirling numbers of types B and D
Biagioli R.;
2019
Abstract
Using Reiner's definition of Stirling numbers of the second kind in types B and D, we generalize two well known identities concerning the classical Stirling numbers of the second kind. The first relates them with Eulerian numbers and the second uses them as entries in a transition matrix between the elements of two standard bases of the polynomial ring in one variable.File in questo prodotto:
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