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In this section, using the Euler-Seidel matrix method, we are able to reprove some known identities of Stirling numbers of second kind, exponential numbers and polynomials.. Using
The following result shows that Gould-Hopper numbers, with a suitable chosen sign, are coefficients in the expression of falling factorial of a in terms rising factorial of
Whitney numbers and characteristic polynomials for hyperplane ar- rangements or more generally for subspace arrangements, that is, the numbers of vertices with fixed rank in the
We begin with sums involving q -binomial coefficients which come up naturally when counting elements in finite classical groups which square to the iden- tity, and we obtain
All the recurrence sequences above have a third order; the selective identities, Binet formulas and generating functions, and some different identities for these numbers, are
For a general class of graphs called dendrimers general formulas giving counting polynomials are obtained and characterized using informational measures..
played by the zeros of orthogonal polynomials on the real line is now played by the zeros of para-orthogonal polynomials, and the Gaussian formulas by the Szego formulas, see,
The portion of the costs that are visible are then compared to the pricing policy of the funding