Deficiency values for the solutions of differential equations with branching point

DOI10.1007/S11253-014-0994-8zbMath1327.34144OpenAlexW2008243496MaRDI QIDQ2260870

A. Z. Mokhon'ko, A. A. Mokhon'ko

Publication date: 12 March 2015

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

Full work available at URL: https://doi.org/10.1007/s11253-014-0994-8

zbMATH Keywords

analytic functionsorder of growth, Nevanlinna characteristics, algebraic differential equation, deficiency value

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (2)

Malmquist theorem for the solutions of differential equations in the vicinity of a branching point ⋮ On the order of growth of the solutions of linear differential equations in the vicinity of a branching point

Cites Work

• An estimate of the modulus of the logarithmic derivative of a function which is meromorphic in an angular region, and its application
• On order of growth of analytic solutions for algebraic differential equations having logarithmic singularity
• Asymptotic properties of entire transcendental solutions of algebraic differential equations
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