The Two-Point Connection Problem for a Sub-Class of the Heun Equation
Runako Williams, Davide Batic
TL;DR
This paper addresses the two-point connection problem for a specific subclass of Heun's differential equation, deriving explicit connection matrices and coefficients using a contour integral approach.
Contribution
It introduces a contour integral method to explicitly compute connection matrices for a subclass of Heun's equation with three free parameters.
Findings
Derived explicit connection coefficients for the subclass of Heun's equation.
Established a contour integral framework for connection problems.
Provided analytical expressions for connection matrices.
Abstract
The present article discusses the two point connection problem for Heun's differential equation. We employ a contour integral method to derive connection matrices for a sub-class of the Heun equation containing 3 free parameters. Explicit expressions for the connection coefficients are found.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Numerical methods for differential equations · Differential Equations and Boundary Problems