This article is cited in 7 scientific papers (total in 7 papers)
The Fourier series method for entire and meromorphic functions of completely regular growth. II
A. A. Kondratyuk
The Fourier series method is used to obtain an integral criterion for an entire function to be of completely regular growth.
It is shown that when the pair $(Z,W)$ of sequences $Z$ of zeros and $W$ of poles of a meromorphic function $f$ has an angular density, the function belongs to the class $\Lambda^0$ of meromorphic functions of completely regular growth introduced in Part I of this paper, and the asymptotic properties of this function are studied. A function $f\in\Lambda^0$ for which $(Z,W)$ does not have an angular density is constructed; examples of $[\varkappa,\rho]$-trigonometrically convex functions are presented.
Bibliography: 14 titles.
PDF file (640 kB)
Mathematics of the USSR-Sbornik, 1982, 41:1, 101–113
MSC: 30D15, 30D35
A. A. Kondratyuk, “The Fourier series method for entire and meromorphic functions of completely regular growth. II”, Mat. Sb. (N.S.), 113(155):1(9) (1980), 118–132; Math. USSR-Sb., 41:1 (1982), 101–113
Citation in format AMSBIB
\paper The Fourier series method for entire and meromorphic functions of completely regular growth.~II
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
Citing articles on Google Scholar:
Related articles on Google Scholar:
Cycle of papers
This publication is cited in the following articles:
A. A. Kondratyuk, “The Fourier series method for entire and meromorphic functions of completely regular growth. III”, Math. USSR-Sb., 48:2 (1984), 327–338
A. A. Kondratyuk, “Spherical harmonics and subharmonic functions”, Math. USSR-Sb., 53:1 (1986), 147–167
K. G. Malyutin, “Fourier series and $\delta$-subharmonic functions of finite $\gamma$-type in a half-plane”, Sb. Math., 192:6 (2001), 843–861
Malyutin K., Sadik N., “Delta-Subharmonic Functions of Completely Regular Growth in the Half-Plane”, Dokl. Math., 64:2 (2001), 194–196
K. G. Malyutin, N. Sadik, “Representation of subharmonic functions in a half-plane”, Sb. Math., 198:12 (2007), 1747–1761
K. G. Malyutin, N. Sadyk, “Indikator delta-subgarmonicheskoi funktsii v poluploskosti”, Ufimsk. matem. zhurn., 3:4 (2011), 86–94
Ufa Math. J., 9:1 (2017), 123–136
|Number of views:|