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On the growth of algebroid solutions of algebraic differential equations
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Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with algebroid solutions and obtains two results, which extend the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao \cite{G1}.
Abstract
Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with algebroid solutions and obtains two results, which extend the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao \cite{G1}.
참고문헌 (14)
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- Y. Tan, "Borel directions and the uniqueness of algebroid functions dealing with multiple values", Studia Sci. Math. Hungar, 58(1), pp.104~118 (2021)[DOI]
- N. Toda, "On the conjecture of Gackstatter and Laine concerning the differential equation(w′)n =Pm j=0 aj(z)wj", Kodai Math. J, 6(2), pp.238~249 (1983)[DOI]
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- P. Zhang, "On uniqueness for algebroid functions of finite order", Acta Math. Sci. Ser. B(Engl. Ed. ), 35(3), pp.630~638 (2015)[DOI]
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