Geodesic
Saga of the Painlev\'e Problem and Analytic Capacity
Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 157-164

Voir la notice de l'article provenant de la source Math-Net.Ru

This note consists of two sections. The first one gives an account of an intriguing and dramatic story of solving (not completely) the so-called Painlevé problem that consists in describing the set of removable singularities for bounded holomorphic functions. In view of this, I indulge in proposing some reminiscences about bygone events. The second section gives yet another elementary proof of the Denjoy conjecture, which is a part of the Painlevé problem. 
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     author = {M. S. Mel'nikov},
     title = {Saga of the {Painlev\'e} {Problem} and {Analytic} {Capacity}},
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M. S. Mel'nikov. Saga of the Painlev\'e Problem and Analytic Capacity. Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 157-164. http://geodesic.mathdoc.fr/item/TRSPY_2001_235_a10/