• Corpus ID: 119136965

Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation

@article{Ishkhanyan2014ConfluentHE,
  title={Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation},
  author={T. A. Ishkhanyan and V. A. Manukyan and A. Harutyunyan and Artur M. Ishkhanyan},
  journal={arXiv: Classical Analysis and ODEs},
  year={2014}
}
Several expansions of the solutions of the double-confluent Heun equation in terms of the Kummer confluent hypergeometric functions are presented. Three different sets of these functions are examined. Discussing the expansions without a pre-factor, it is shown that two of these functions provide expansions the coefficients of which obey three-term recurrence relations, while for the third confluent hypergeometric function the corresponding recurrence relation generally involves five-terms. The… 
2 Citations
Appell Hypergeometric Expansions of the Solutions of the General Heun Equation
Starting from a second-order Fuchsian differential equation having five regular singular points, an equation obeyed by a function proportional to the first derivative of the solution of the Heun
Hypergeometric expansions of the solutions of the general Heun equation governed by two-term recurrence relations for expansion coefficients
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