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In this paper we investigate Donder-Weyl (DW) Hamilton-Jacobi equations and establish the connection between DW Hamilton-Jacobi equations and multi-symplectic Hamiltonian systems. Based on the study...
Let $\J$ and $\K$ be convex sets in $\R^{n}$ whose affine spans intersect at a single rational point in $\J \cap \K$, and let $\J \oplus \K = \conv(\J \cup \K)$. We give expressions for the generating...
We show that a recent identity of Beck-Gessel-Lee-Savage on the generating function of symmetrically contrained compositions of integers generalizes naturally to a family of convex polyhedral cones th...
Abstract: A redundant generating function is a generating function having terms which are not part of the solution of the original problem. We use redundant generating functions to study two path prob...
Abstract: This short note concerns the possible singular behaviour of moment generating functions of finite measures at the boundary of their domain of existence. We look closer at Example 7.3 in O. B...
The main aim of this paper is to provide a unified approach to deriving identities for the Bernstein polynomials using a novel generating function. We derive various functional equations and different...
Let F(x) = P 2Nd Fx be a multivariate power series with complex coefficients that converges in a neighborhood of the origin. Assume F = G/H for some functions G and H holomorphic in a neighborhood ...
A solution is proposed for the problem of composition of ordinary generating functions.A new class of functions that provides a composition of ordinary generating functions is introduced; main theorem...
In this note we discuss the relationship between the generating functions of some Hermite polynomials H.
In this note we construct a nontrivial partial order on the identity component of the group of compactly supported contactomorphisms of \R2n+1 using the method of generating functions. Our constructio...
In this paper we introduce the general form of generating functions. By using the generating function we obtain the terms of different polynomials. Also we calculate the n-th term an of the polynomi...
In this paper we introduce the general form of generating functions. By using the generating function we obtain the terms of different polynomials. Also we calculate the n-th term an of the polynomi...
n [2--4], symplectic schemes of arbitrary order are constructed by generating functions. However the construction of generating functions is dependent on the chosen coordinates. One would like to ...

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