Geodesic
Maclaurin's expansion of Szegö's function whose weight is positive and satisfies Dini's condition, uniformly converges in the closed disc
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 199-204 
V. M. Badkov. Maclaurin's expansion of Szegö's function whose weight is positive and satisfies Dini's condition, uniformly converges in the closed disc. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 199-204. http://geodesic.mathdoc.fr/item/TIMM_1998_5_a14/
@article{TIMM_1998_5_a14,
     author = {V. M. Badkov},
     title = {Maclaurin's expansion of {Szeg\"o's} function whose weight is positive and satisfies {Dini's} condition, uniformly converges in the closed disc},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {199--204},
     year = {1998},
     volume = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_1998_5_a14/}
}
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TI  - Maclaurin's expansion of Szegö's function whose weight is positive and satisfies Dini's condition, uniformly converges in the closed disc
JO  - Trudy Instituta matematiki i mehaniki
PY  - 1998
SP  - 199
EP  - 204
VL  - 5
UR  - http://geodesic.mathdoc.fr/item/TIMM_1998_5_a14/
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ID  - TIMM_1998_5_a14
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%A V. M. Badkov
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%J Trudy Instituta matematiki i mehaniki
%D 1998
%P 199-204
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%U http://geodesic.mathdoc.fr/item/TIMM_1998_5_a14/
%G ru
%F TIMM_1998_5_a14

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The theorem formulated in the title is proved by using methods of the theory of orthogonal polynomials.