Geodesic
Confluent Heun equation and confluent hypergeometric equation
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Tome 462 (2017), pp. 93-102

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The confluent Heun equation and confluent hypergeometric equation are studied in scalar and vector forms with particular emphasis to the role of apparent singularities. The relation to the Painlevé equation is shown. 
@article{ZNSL_2017_462_a4,
     author = {S. Yu. Slavyanov and A. A. Salatich},
     title = {Confluent {Heun} equation and confluent hypergeometric equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {93--102},
     publisher = {mathdoc},
     volume = {462},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_462_a4/}
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S. Yu. Slavyanov; A. A. Salatich. Confluent Heun equation and confluent hypergeometric equation. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Tome 462 (2017), pp. 93-102. http://geodesic.mathdoc.fr/item/ZNSL_2017_462_a4/