Some generating functions for polynomials
Some geometric probability problems involving the Eulerian numbers.
Some identities for Chebyshev polynomials.
Some observations on the Lah and Laguerre transforms of integer sequences.
Some Parity Statistics in Integer Partitions
We study integer partitions with respect to the classical word statistics of levels and descents subject to prescribed parity conditions. For instance, a partition with summands may be enumerated according to descents while tracking the individual parities of and . There are two types of parity levels, E = E and O = O, and four types of parity-descents, E > E, E > O, O > E and O > O, where E and O represent arbitrary even and odd summands. We obtain functional equations and explicit...
Some properties of associated Stirling numbers.
Some -analogues of determinant identities which arose in plane partition enumeration.
Some remarks on the enumeration of rooted trees
Sorting classes.
Sorting with a forklift.
Spanning trees and function classes.
Spectral properties of a certain class of Carleman operators
The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of and then using the Stieltjes inversion formula.
Square-ice enumeration.
Staircases in .
Standard paths in another composition poset.
Statistics on Dyck paths.
Stirling pairs
Strings with maximally many distinct subsequences and substrings.
Struktur- und Anzahlformeln für Topologien auf endlichen Mengen.
Subsequence containment by involutions.