Geodesic
SP Transform and Uniform Convergence of Laurent and Power Series
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 114-123

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DOI

If the Laurent series is transformed to it is shown that convergence of the former at z = 1 implies the uniform convergence of the latter on a symmetric arc of |z - 1/P| = 1/P - 1 not containing z = 1 and that the uniform convergence of the former over a symmetric arc of |z| = 1 containing z = 1 implies uniform convergence of the latter on the entire circle |z — 1/P| = 1/P — 1.
DOI : 10.4153/CMB-1987-017-1
Mots-clés : Primary 30B30, Secondary 40G99 
Settu, S.A. SP Transform and Uniform Convergence of Laurent and Power Series. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 114-123. doi: 10.4153/CMB-1987-017-1
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     title = {SP {Transform} and {Uniform} {Convergence} of {Laurent} and {Power} {Series}},
     journal = {Canadian mathematical bulletin},
     pages = {114--123},
     year = {1987},
     volume = {30},
     number = {1},
     doi = {10.4153/CMB-1987-017-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-017-1/}
}
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