New solutions of the confluent Heun equation
Keywords:
Confluent Heun, Global solutionAbstract
New compact triple series solutions of the confluent Heun equation (CHE) are obtained by the appropriate applications of the Laplace transform and its inverse to a suitably constructed system of soluble differential equations. The computer-algebra package MAPLE V is used to tackle an auxiliary system of non-linear algebraic equations. This study is partly motivated by the relationship between the CHE and certain Schrödininger equations.Downloads
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