A proof of Sheremeta's conjecture concerning an entire function of bounded \(l\)-index

zbMath0974.30554MaRDI QIDQ1584078

M. T. Bordulyak

Publication date: 31 October 2000

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

entire functionbounded \(l\)-indexpositive continuous function

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20)

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 ⋮ Analytic in a unit polydisc functions of bounded \(L\)-index in direction ⋮ Unnamed Item ⋮ Note on boundedness of the \(L\)-index in the direction of the composition of slice 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 ⋮ Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables ⋮ Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ Unnamed Item ⋮ Functions analytic in the unit ball having bounded \(L\)-index in a direction

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