Geodesic
On a~relationship between solutions of the third Painlev\'e equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 364-366

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The direct and inverse Bäcklund transformations for the third Painlevé equation in the case $\gamma \delta \ne 0$ is used to obtain a nonlinear functional relationship connecting the solutions of this equation for different values of the parameters that occur in it. 
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     author = {V. V. Tsegel'nik},
     title = {On a~relationship between solutions of the third {Painlev\'e} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a4/}
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V. V. Tsegel'nik. On a~relationship between solutions of the third Painlev\'e equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 364-366. http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a4/