Integral relations for solutions of the confluent Heun equation

@article{ElJaick2015IntegralRF,
  title={Integral relations for solutions of the confluent Heun equation},
  author={L{\'e}a Jaccoud El-Jaick and Bartolomeu D. B. Figueiredo},
  journal={Appl. Math. Comput.},
  year={2015},
  volume={256},
  pages={885-904}
}
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Integral relations and transformation rules are used to obtain, out of an asymptotic solution, a new group of four pairs of solutions to the double-confluent Heun equation. Each pair presents the
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We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for
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This paper examines some solutions for confluent and double-confluent Heun equations. In the first place, we review two Leaver's solutions in series of regular and irregular confluent hypergeometric
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Firstly, we construct kernels for integral relations among solutions of the confluent Heun equation (CHE). Additional kernels are systematically generated by applying substitutions of variables. Se...
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TLDR
Of the 192 local solutions of the Heun equation, 24 are equivalent expressions for the local Heun function Hl, and it is shown that the resulting order-24 group of transformations of Hl is isomorphic to the symmetric group S 4 .
Ince’s limits for confluent and double-confluent Heun equations
We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in
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