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This article is cited in 12 scientific papers (total in 12 papers)
The Fourier series method for entire and meromorphic functions of completely regular growth. II
A. A. Kondratyuk
Abstract:
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.
Received: 10.08.1978
Citation:
A. A. Kondratyuk, “The Fourier series method for entire and meromorphic functions of completely regular growth. II”, Math. USSR-Sb., 41:1 (1982), 101–113
Linking options:
https://www.mathnet.ru/eng/sm2781https://doi.org/10.1070/SM1982v041n01ABEH002223 https://www.mathnet.ru/eng/sm/v155/i1/p118
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