subc2nava. 388KB Jun 04 2011 12:09:34 AM
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In this section we collect some well-known facts on linear Poisson structures and Lie algebroids in order to fix our notation. For details see e.g.. This also motivates the notion
This definition must generalize the definition of transitive Lie algebra, and incorpo- rate the fact that we can reconstruct an intransitive linear Lie equation from its restriction
In particular, our examples show that, in contrast to point transformations (S. Lie results), for a linearization problem via the generalized Sundman transformation one needs to use
Next we will introduce the hybrid Hermite-Laguerre polynomials combining the individ- ual characteristics of both Laguerre and Hermite polynomials and explore their properties in
We introduce polynomial generalizations of the r -Fibonacci, r -Gibonacci, and r - Lucas sequences which arise in connection with two statistics defined, respectively, on
In this setting it is not difficult (Section 2 aim) to provide examples of ODE’s that can be solved for all initial conditions while the probabilistic formula is meaningful only
Since the volume growth in all of these examples is polynomial, Theorem 1.2 applies in each case to give the asymptotic rate of decay of the negative exponential moments of the
They were determined by means of the universal enveloping algebra of a Lie algebra, and successive applications of Lie groups and algebras to other mathematical and physical
