# Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients

@article{Ishkhanyan2018ExpansionsOT, title={Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients}, author={T. A. Ishkhanyan and T. A. Shahverdyan and Artur M. Ishkhanyan}, journal={Advances in High Energy Physics}, year={2018} }

We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before. In general, the coefficients of the expansions obey three-term recurrence relations. However, there exist certain choices of the parameters for which the recurrence relations become two-term. The coefficients of the expansions are then explicitly expressed in terms of the gamma…

## 14 Citations

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