Polynomial Solutions of Heun’s Differential Equations in Nonstandard Analysis
Tohru Morita *
Graduate School of Information Sciences, Tohoku University, Sendai 980-8577, Japan.
*Author to whom correspondence should be addressed.
Abstract
In a paper of the present author, solutions of inhomogeneous and homogeneous Heun’s differential equations, are obtained with the aid of nonstandard analysis. By using the solutions of homogeneous Heun’s differential equations given there, polynomial solutions of homogeneous Heun’s differential equations are derived in a form different from those presented in the past.
Keywords: Heun’s differential equation, nonstandard analysis, complementary solution, polynimial solution