• Corpus ID: 122459551

Hypergeometric expansions of the solutions of the general Heun equation governed by two-term recurrence relations for expansion coefficients

@article{Ishkhanyan2014HypergeometricEO,
  title={Hypergeometric expansions of the solutions of the general Heun equation governed by two-term recurrence relations for expansion coefficients},
  author={T. A. Ishkhanyan and T. A. Shahverdyan and Artur M. Ishkhanyan},
  journal={arXiv: Classical Analysis and ODEs},
  year={2014}
}
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 a certain set of the parameters of the Heun equation for which the recurrence relation becomes two-term. The coefficients of the expansions are then explicitly expressed in… 

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