Logarithmic derivative and zeros of an entire function of bounded \(l\)- index

DOI10.1007/BF00971102zbMath0787.30017OpenAlexW2013068847MaRDI QIDQ1204689

A. D. Kuzyk, M. N. Sheremeta

Publication date: 18 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971102

zbMATH Keywords

logarithmic derivative

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (11)

Slice holomorphic functions in the unit ball: boundedness of \(L\)-index in a direction and related properties ⋮ Functions analytic in a unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ Boundedness of \(l\)-index and completely regular growth of entire functions ⋮ Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables ⋮ Entire functions of bounded L-index: its zeros and behavior of partial logarithmic derivatives ⋮ A note on meromorphic functions with finite order and of bounded \(l\)-index ⋮ Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables ⋮ Slice holomorphic functions in several variables with bounded \(L\)-index in direction ⋮ Some weaker sufficient conditions of $L$-index boundedness in direction for functions analytic in the unit ball ⋮ About some problem for entire functions of unbounded index in any direction ⋮ Functions analytic in the unit ball having bounded \(L\)-index in a direction

Cites Work

• Entire functions of bounded \(\ell\)-distribution of values
• Entire functions of locally slow growth
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