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We show that formulae of Gessel for the generating functions for Young standard tableaux of height bounded by k (see [ 2 ]) satisfy linear differential equations, with
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
We will show in section 2 that the matrix transformation corresponding to the regular convolution method generated by an independent and identically distributed sequence of
The main objective in this paper is to obtain the generating function for the number of independent sets on the class of well-based path-schemes (see Section 2 for definitions),
The present material refers to an example of matrix functions, the exponential matrix function, used as a plane rotation operator.. In the case of the plane rotations we shall
Horadam, Generating functions for powers of a certain generalised sequence of numbers, Duke Math.. Pita, More on Fibonomials, Proceedings of the XIV Conference on
Section II will contain the proof of the theorem of factorization of matrix-functions and present the theorem of singular operators that are Noetherian in weighted
For any initial monotone data these schemes converge to continuously dierentiable limit functions (see Section 8) and have approximation order four (Section 9)5. Some