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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 376, Pages 176–180 (Mi znsl3623)

Real zeros for certain classes of analytic functions determined by a majorant of infinite order

F. A. Shamoyan

I. G. Petrovsky Bryansk State University, Bryansk, Russia

Abstract: Certain classes of entire functions or of functions analytic in the unit disk are treated; they are defined in terms of a radial majorant $\lambda$ that grows sufficiently fast. Under certain assumptions on $\lambda$, the zero sets for such a class are described that lie on $\mathbb R_+$ (respectively, on the segment $[0,1)$). Bibl. – 9 titles.

Key words and phrases: entire function, zero set, Lindelöf condition.

UDC: 517.547.2+517.547.3

Received: 07.06.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 172:2, 276–278

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© Steklov Math. Inst. of RAS, 2025