Geodesic
Integral symmetry for the confluent Heun equation with added apparent singularity
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 34-48

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Confluent Heun equation with added apparent singular point is under consideration. New integral transform connecting solutions of this equation with different parameters is obtained. Kernel of this transform is a suitable solution of the confluent hypergeometric equation. 
@article{ZNSL_2014_426_a4,
     author = {A. Ya. Kazakov},
     title = {Integral symmetry for the confluent {Heun} equation with added apparent singularity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {34--48},
     publisher = {mathdoc},
     volume = {426},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_426_a4/}
}
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A. Ya. Kazakov. Integral symmetry for the confluent Heun equation with added apparent singularity. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 34-48. http://geodesic.mathdoc.fr/item/ZNSL_2014_426_a4/