13 citations · 36 across the 7 of their papers we have counts for
7 papers
New solutions to the confluent Heun equation and quasiexact solvability
Léa Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo
We construct new solutions in series of confluent hypergeometric functions for the confluent Heun equation (CHE). Some of these solutions are applied to the one-dimensional station…
Integral relations for solutions of confluent Heun equations
Léa Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo
Firstly, we construct kernels of integral relations among solutions of the confluent Heun equation (CHE) and its limit, the reduced CHE (RCHE). In both cases we generate additional…
Confluent and Double-Confluent Heun Equations: Convergence of Solutions in Series of Coulomb Wavefunctions
Lea Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo
The Leaver solutions in series of Coulomb wave functions for the confluent Heun equation (CHE) are given by two-sided infinite series, that is, by series where the summation index…
Transformations of Heun's equation and its integral relations
Léa Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo
We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead…
A limit of the confluent Heun equation and the Schroedinger equation for an inverted potential and for an electric dipole
Lea Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo
We reexamine and extend a group of solutions in series of Bessel functions for a limiting case of the confluent Heun equation and, then, apply such solutions to the one-dimensional…
On Certain Solutions for Confluent and Double-Confluent Heun Equations
Lea Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo
This paper examines some solutions for confluent and double-confluent Heun equations. In the first place, we review two Leaver's solutions in series of regular and irregular conflu…
Estimate of drainage water behaviour in shallow lakes
Lea J. El-Jaick, A. A. Gomes
A theoretical estimate of the explicit time dependence of a drainage water of shallow lakes is presented as an important contribution for understanding the lake dynamics. This info…