Geodesic
A Generalization of an Inversion Formula for the Gauss Transformation
Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 45-53

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In an earlier paper [3] we considered an inversion formula for the Gauss transformation G defined by 1.1 We noted there that formally G is inverted by, 1.2 and we showed that if e-D2 is interpreted via the power series for the exponential function, that is if 1.3 then under certain conditions on φ, 1.4 
Rooney, P. G. A Generalization of an Inversion Formula for the Gauss Transformation. Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 45-53. doi: 10.4153/CMB-1963-007-8
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     title = {A {Generalization} of an {Inversion} {Formula} for the {Gauss} {Transformation}},
     journal = {Canadian mathematical bulletin},
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     year = {1963},
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     doi = {10.4153/CMB-1963-007-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-007-8/}
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