Physics – Mathematical Physics
Scientific paper
2008-07-14
Physics
Mathematical Physics
In the present version (v3) we corrected Ref [3]. A slightly different form of this manuscript, entitled "Solutions for conflu
Scientific paper
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 functions for the confluent equation and introduce an additional expansion in series of irregular confluent hypergeometric functions. Then, we find the conditions under which one of these solutions can be written as a linear combination of the others. In the second place, by means of limiting procedures we generate solutions for the double-confluent equation as well as for special limits of both the confluent and double-confluent equations. Finally, we present problems which are ruled by each of these four equations and establish relations among Heun equations and quasi-exactly solvable problems.
El-Jaick Lea Jaccoud
Figueiredo Bartolomeu D. B.
No associations
LandOfFree
On Certain Solutions for Confluent and Double-Confluent Heun Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Certain Solutions for Confluent and Double-Confluent Heun Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Certain Solutions for Confluent and Double-Confluent Heun Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-443632