Asymptotic properties of entire transcendental solutions of algebraic differential equations

DOI10.1090/conm/025/730048zbMath0546.34004OpenAlexW4250445820MaRDI QIDQ3337755

Shlomo Strelitz

Publication date: 1983

Published in: Value Distribution Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/025/730048

zbMATH Keywords

algebraic differential equationsbounded indexgeneralized indexentire transcendental solutions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Ordinary differential equations in the complex domain (34M99)

Related Items (17)

Slice holomorphic functions in the unit ball: boundedness of \(L\)-index in a direction and related properties ⋮ Irregular finite order solutions of complex LDE's in unit disc ⋮ On the growth of meromorphic solutions of the differential equation \((y')^m=R(z,y)\) ⋮ On the growth of solutions of second order algebraic differential equations ⋮ Asymptotic behavior of Dirichlet series ⋮ Slice holomorphic solutions of some directional differential equations with bounded \(L\)-index in the same direction ⋮ Deficiency values for the solutions of differential equations with branching point ⋮ Unnamed Item ⋮ On the order of growth of meromorphic solutions of first-order differential equations ⋮ On maximum modulus points and zero sets of entire functions of regular growth ⋮ Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables ⋮ A note on the existence of vector-functions satisfying differential equations ⋮ Slice holomorphic functions in several variables with bounded \(L\)-index in direction ⋮ Boundedness of the L-index in a direction of entire solutions of second order partial differential equation ⋮ Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ On the growth of entire solutions of algebraic differential equations ⋮ On the fix-points of composite transcendental entire functions

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