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Summation of analytic functions
V. A. Belyaev Kaluga Branch of Bauman Moscow State Technical University
Abstract:
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 $(1-z)^{-2}$.
Received: 20.03.1974
Citation:
V. A. Belyaev, “Summation of analytic functions”, Mat. Zametki, 19:1 (1976), 3–10; Math. Notes, 19:1 (1976), 3–6
Linking options:
https://www.mathnet.ru/eng/mzm7717 https://www.mathnet.ru/eng/mzm/v19/i1/p3
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