Summation of analytic functions
Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 3-10
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For analytic functions of a certain class we establish the existence of a regular matrix summing $f(z)=\sum_{k=0}^\infty c_kz^k$ to $f(z)$ in the whole domain of analyticity of f(z). In particular, the class under consideration contains the function $(1-z)^{-2}$.
@article{MZM_1976_19_1_a0,
author = {V. A. Belyaev},
title = {Summation of analytic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {3--10},
year = {1976},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a0/}
}
V. A. Belyaev. Summation of analytic functions. Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a0/