Geodesic
Euler integral symmetry and deformed hypergeometric equation
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 41, Tome 393 (2011), pp. 111-124

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Euler integral symmetry for the hypergeometric system of linear differential equations is described. Reduction of the hypergeometric system leads to integral symmetry for the deformed hypergeometric equation. Analytic continuation of the corresponding contour integral is used to obtain the corresponding symmetry of the connection matrix. These results give the possibility to calculate the connection matrix of the deformed hypergeometric equation. 
@article{ZNSL_2011_393_a7,
     author = {A. Ya. Kazakov},
     title = {Euler integral symmetry and deformed hypergeometric equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--124},
     publisher = {mathdoc},
     volume = {393},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_393_a7/}
}
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A. Ya. Kazakov. Euler integral symmetry and deformed hypergeometric equation. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 41, Tome 393 (2011), pp. 111-124. http://geodesic.mathdoc.fr/item/ZNSL_2011_393_a7/