Dirac Equation on the Kerr–Newman Spacetime and Heun Functions

By employing a pseudoorthonormal coordinate-free approach, the Dirac equation for particles in the Kerr–Newman spacetime is separated into its radial and angular parts. In the massless case to which a special attention is given, the general Heun-type equations turn into their confluent form. We show how one recovers some results previously obtained in literature, by other means.

Upon A Second Confluent Form of the Ɛ-Algorithm

In two previous papers [1], [2] the confluent formof the δ-algorithm [3]was established, and various properties which the confluent form of the algorithm possesses were discussed. It was shown, among other things, that if in (1)and the notationis used, then (1) is satisfied byand further that under certain conditions, and for a certain n,identically. It is the purpose of this note to derive another confluent form of the Ɛ-algorithm and to discuss its properties.