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## Ince’s limits for confluent and double-confluent Heun equations

- B. Figueiredo
- Mathematics
- 8 September 2005

We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in… Expand

## Generalized spheroidal wave equation and limiting cases

- B. Figueiredo
- Mathematics
- 19 November 2006

We find sets of solutions to the generalized spheroidal wave equation (GSWE) or, equivalently, to the confluent Heun equation. Each set is constituted by three solutions, one given by a series of… Expand

## On Certain Solutions for Confluent and Double-Confluent Heun Equations

- L. El-Jaick, B. Figueiredo
- Mathematics
- 14 July 2008

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 confluent hypergeometric… Expand

## Transformations of Heun's equation and its integral relations

- L. El-Jaick, B. Figueiredo
- Mathematics
- 24 February 2010

Using the transformation theory for the Heun equation, we find substitutions of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun… Expand

## Solutions to a spheroidal wave equation

- B. Figueiredo, M. Novello
- Mathematics
- 1 July 1993

Fackerell–Crossman’s solutions to a generalized spheroidal wave equation are extended for the case in which there is no free parameter in that equation. The results, together with Leaver’s expansions… Expand

## Gravitational coupling of Klein-Gordon and Dirac particles to matter vorticity and spacetime torsion

- B. Figueiredo, I. Soares, J. Tiomno
- Physics
- 1 June 1992

The authors examine the gravitational coupling of Klein-Gordon and Dirac fields to matter vorticity and spacetime torsion, in the context of Einstein-Cartan theory. The background spacetime is… Expand

## On some solutions to generalized spheroidal wave equations and applications

- B. Figueiredo
- Mathematics
- 29 March 2002

Expansions in series of Coulomb and hypergeometric functions for the solutions of the generalized spheroidal wave equations (GSWEs) are analysed and written together in pairs. Each pair consists of a… Expand

## A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole

- L. El-Jaick, B. Figueiredo
- Mathematics
- 18 February 2009

We re-examine 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 Schrodinger… Expand

## Confluent Heun equations: convergence of solutions in series of coulomb wavefunctions

- L. El-Jaick, B. Figueiredo
- Mathematics
- 20 September 2012

The Leaver solutions in series of Coulomb wavefunctions for the confluent Heun equation are given by two-sided infinite series, that is, by series where the summation index n runs from minus to plus… Expand

## Integral relations for solutions of the confluent Heun equation

- L. El-Jaick, B. Figueiredo
- MathematicsAppl. Math. Comput.
- 15 November 2013

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