01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords:
Dirichlet series, maximal term, curve of a bounded slope, asymptotic set
UDC:
517.53, 517.537.7
Subject:
Asymptotic properties of entire Dirichlet series with a given majorant of growth
Main publications:
\begin{thebibliography}{9}
\RBibitem{1}
\by Aitkuzhina N.N.
\paper Asimptoticheskii rost na krivykh ryada Dirikhle s pravilnoi mazhorantoi na posledovatelnosti tochek
\jour Sib. matem. zhurn.
\yr 2012
\vol 53
\issue 2
\pages 193-200
\RBibitem{2}
\by A. M. Gaisin, N. N. Aitkuzhina
\paper Poryadok ryada Dirikhle s neregulyarnym raspredeleniem pokazatelei v polupolosakh
\jour Algebra i analiz
\yr 2018
\vol 30
\issue 4
\pages 27-46
\Bibitem{3}
\by A. M. Gaisin, N. N. Aitkuzhina
\paper Stability-preserving perturbation of the maximal terms of Dirichlet series
\jour Probl. anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 3
\pages 30-44
\RBibitem{4}
\by N. N. Aitkuzhina, A. M. Gaisin
\paper Dvustoronnyaya otsenka k-poryadka ryada Dirikhle v polupolose
\jour Ufimskii matematicheskii zhurnal
\yr 2014
\vol 6
\issue 4
\pages 19-31
N. N. Aitkuzhina, A. M. Gaisin, R. A. Gaisin, “Regular growth of Dirichlet series of the class $D(\Phi)$ on curves of bounded $K$-slope”, Probl. Anal. Issues Anal., 12(30):3 (2023), 3–19
N. N. Aitkuzhina, A. M. Gaisin, R. A. Gaisin, “Behavior of entire Dirichlet series of class $\underline{D}(\Phi)$ on curves of bounded $K$-slope”, Ufimsk. Mat. Zh., 15:3 (2023), 3–13; Ufa Math. J., 15:3 (2023), 3–12
2022
3.
A. M. Gaisin, N. N. Aitkuzhina, “Stability-preserving perturbation of the maximal terms of Dirichlet series”, Probl. Anal. Issues Anal., 11(29):3 (2022), 30–44
A. M. Gaisin, N. N. Aitkuzhina, “The order of а Dirichlet series with an irregular distribution of the exponents in the half-strip”, Algebra i Analiz, 30:4 (2018), 27–46; St. Petersburg Math. J., 30:4 (2019), 639–653
A. M. Gaisin, N. N. Aitkuzhina, “The order of the Dirichlet series in the half-strip”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142 (2017), 42–56; Journal of Mathematical Sciences, 241:6 (2019), 686–700
2015
6.
N. N. Aitkuzhina, A. M. Gaisin, “Exactness of estimates for $k$th order of Dirichlet series in a semi-strip”, Ufimsk. Mat. Zh., 7:4 (2015), 15–24; Ufa Math. J., 7:4 (2015), 15–23
N. N. Aitkuzhina, A. M. Gaisin, “$k$-order estimate for Dirichlet series in a half-strip”, Ufimsk. Mat. Zh., 6:4 (2014), 19–31; Ufa Math. J., 6:4 (2014), 18–30
N. N. Aitkuzhina, A. M. Gaisin, “Dirichlet series with real coefficients”, Ufimsk. Mat. Zh., 5:3 (2013), 3–11; Ufa Math. J., 5:3 (2013), 3–10
2012
9.
N. N. Aitkuzhina, “Asymptotic growth on curves of a Dirichlet series with regular dominant on a sequence of points”, Sibirsk. Mat. Zh., 53:2 (2012), 241–249; Siberian Math. J., 53:2 (2012), 193–200
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