By means of a variational approach we find new series representations both for well known mathematical constants, such as Ï€ and the Catalan constant, and for mathematical functions, such as theâ€¦ (More)

Abstract. Using a variational approach, two new series representations for the incomplete Gamma function are derived: the first is an asymptotic series, which contains and improves over the standardâ€¦ (More)

I calculate the modes of vibration of membranes of arbitrary shape using a collocation approach based on Little Sinc Functions. The matrix representation of the PDE obtained using this method isâ€¦ (More)

We propose a method for the treatment of twoâ€“point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel determinants thatâ€¦ (More)

In this paper we study the modification of the properties of the nucleon in the nucleus within the quark-soliton model. This is a covariant, dynamical model, which provides a nonâ€“linearâ€¦ (More)

We have applied a collocation approach to obtain the numerical solution to the stationary SchrÃ¶dinger equation for systems of coupled oscillators. The dependence of the discretized Hamiltonian onâ€¦ (More)

A powerful method for calculating the eigenvalues of a Hamiltonian operator consists of converting the energy eigenvalue equation into a matrix equation by means of an appropriate basis set ofâ€¦ (More)

We apply a method recently devised by one of the authors to obtain an approximate analytical formula for the spectrum of a quantum anharmonic potential. Due to its general features the method can beâ€¦ (More)