22 citations · 137 across the 17 of their papers we have counts for
17 papers
A new family of series expansions for and a binomial identity
J. Sesma
A doubly infinite set of series expansion for are reported. They follow trivially from a formal expansion for the quotient of the values taken by the gamma function for two (…
Scattering by infinitely rising one-dimensional potentials
E. M. Ferreira, J. Sesma
Infinitely rising one-dimensional potentials constitute impenetrable barriers which reflect totally any incident wave. However, the scattering by such kind of potentials is not str…
The Roman harmonic numbers revisited
Javier Sesma
Two decades ago, Steven Roman, Daniel E. Loeb and Gian-Carlo Rota introduced a family of harmonic numbers in their study of harmonic logarithms. We propose to refer to those number…
A naive procedure for computing angular spheroidal functions
J. Sesma
An algorithm for computing eigenvalues and eigenfunctions of the angular spheroidal wave equation, based on a known but scarcely used method, is developed. By requiring the regular…
New properties of the Lerch's transcendent
E. M. Ferreira, A. K. Kohara, J. Sesma
A new representation of the Lerch's transcendent Phi(z,s,a), valid for positive integer s=n=1,2,... and for z and a belonging to certain regions of the complex plane, is presented.…
Exact solution of the Schrödinger equation with a Lennard-Jones potential
J. Sesma
The Schrödinger equation with a Lennard-Jones potential is solved by using a procedure that treats in a rigorous way the irregular singularities at the origin and at infinity. Glob…