Series solutions of confluent Heun equations in terms of incomplete Gamma-functions

@article{Ishkhanyan2014SeriesSO,
  title={Series solutions of confluent Heun equations in terms of incomplete Gamma-functions},
  author={Artur Ishkhanyan},
  journal={Journal of Applied Analysis and Computation},
  year={2014},
  volume={9},
  pages={118-139}
}
  • Artur Ishkhanyan
  • Published 2014
  • Mathematics, Physics
  • Journal of Applied Analysis and Computation
  • We present a simple systematic algorithm for construction of expansions of the solutions of ordinary differential equations with rational coefficients in terms of mathematical functions having indefinite integral representation. The approach employs an auxiliary equation involving only the derivatives of a solution of the equation under consideration. Using power-series expansions of the solutions of this auxiliary equation, we construct several expansions of the four confluent Heun equations… CONTINUE READING

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