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This article is cited in 10 scientific papers (total in 10 papers)
Universality of the periodic Hurwitz zeta-function with rational parameter
A. Laurinčikasa, R. Macaitienėbc, D. Mochova, D. Šiaučiūnasbd a Vilnius University, Vilnius, Lietuva
b Šiauliai University, Šiauliai, Lietuva
c Šiauliai State College, Šiauliai, Lietuva
d Šiauliai University, Šiauliai, Lietuva
Abstract:
The periodic Hurwitz zeta-function, a generalization of the classical Hurwitz zeta-function, is defined by a Dirichlet series with periodic coefficients and depends on a fixed parameter. We show that a wide class of analytic functions is approximated by shifts of a periodic zeta-function with rational parameter.
Keywords:
Hurwitz zeta-function, periodic Hurwitz zeta-function, Mergelyan's theorem, universality.
Received: 15.01.2018
Citation:
A. Laurinčikas, R. Macaitienė, D. Mochov, D. Šiaučiūnas, “Universality of the periodic Hurwitz zeta-function with rational parameter”, Sibirsk. Mat. Zh., 59:5 (2018), 1128–1135; Siberian Math. J., 59:5 (2018), 894–900
Linking options:
https://www.mathnet.ru/eng/smj3033 https://www.mathnet.ru/eng/smj/v59/i5/p1128
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Abstract page: | 215 | Full-text PDF : | 41 | References: | 26 | First page: | 3 |
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