On Subharmonic Functions of the First Order with Restrictions on the Real Axis

Автор(и)

  • I.V. Poedintseva Department of Mechanics and Mathematics V.N. Karazin Kharkiv National University 4 Svobody Sq., Kharkiv, 61077, Ukraine

Ключові слова:

proximate order, functions of the class A, functions of completely regular growth.

Анотація

Subharmonic functions v of the first proximate order r(r) with the integral jm04-380e.gif bounded with respect to R are studied. This is an extension of a result by N.I. Akhiezer, who studied the case r(r) ≡ 1, v(z) = ln|f(z)|, where f(z) is an entire function.

Mathematics Subject Classification: 31A05.

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Опубліковано

2008-07-14

Як цитувати

(1)
Poedintseva, I. On Subharmonic Functions of the First Order With Restrictions on the Real Axis. J. Math. Phys. Anal. Geom. 2008, 4, 380-394.

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