Following the lead of J. Dehesa and his collaborators, we compute the Fisher information of the Meixner-Pollaczek, Meixner, Krawtchouk and Charlier polynomials.

We analyze the polynomials H n(x) considered by Gould and Hopper, which generalize the classical Hermite polynomials. We present the main properties of H n(x) and derive asymptotic approximations forâ€¦ (More)

1 We investigate the zeros of polynomial solutions to the differential-difference equation P n+1 (x) = A n (x)P â€² n (x) + B n (x)P n (x), n = 0, 1,. .. where A n and B n are polynomials of degree atâ€¦ (More)

The inverse of the error function, inverf(x), has applications in diffusion problems, chemical potentials, ultrasound imaging, etc. We analyze the derivatives d n dzn inverf (z) Ì¨

We analyze the Krawtchouk polynomials Kn(x,N, p, q) asymptotically. We use singular perturbation methods to analyze them for N â†’ âˆž, with appropriate scalings of the two variables x and n. Inâ€¦ (More)

We analyze the representation of A as a linear combination of A, 0 â‰¤ j â‰¤ k âˆ’ 1, where A is a k Ã— k matrix. We obtain a first order asymptotic approximation of A as n â†’ âˆž, without imposing any specialâ€¦ (More)

In a previous paper) we discussed in the framework of the Poincare-Cartan integral invariant, a method for performing the canonical formalism for constrained systems. The basic idea consists ofâ€¦ (More)

We analyze asymptotically a differential-difference equation, that arises in a Markovmodulated fluid model. Here there are N identical sources that turn on and off, and when on they generate fluid atâ€¦ (More)