Malmquist Theorem for the Solutions of Differential Equations in the Vicinity of a Branching Point

被引：0

作者：

Mokhon'ko, A. A. ^{[1
]}

Mokhon'ko, A. Z. ^{[1
]}

机构：

[1] Lvivska Politekhnika Natl Univ, Lvov, Ukraine

来源：

Ukrainian Mathematical Journal | 2015年 / 66卷 / 09期

关键词：

Rational Function; Singular Point; Riemann Surface; Meromorphic Function; Riccati Equation;

D O I：

10.1007/s11253-015-1024-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An analog of the Malmquist theorem on the growth of solutions of the differential equation f' = P(z, f)/Q(z, f), where P(z, f) and Q(z, f) are polynomials in all variables, is proved for the case where the coefficients and solutions of this equation have a branching point at infinity (e.g., a logarithmic singularity).

引用

页码：1442 / 1447

页数：6

共 8 条

[1] Gol'dberg A. A., 1970, DISTRIBUTION VALUES
[2] About the functions of a finite number of definite branches by first order differential equations.
Malmquist, J
[J]. ACTA MATHEMATICA, 1913, 36 (01) : 297 - 343
[3] Mokhon'ko A. A., 2014, UKR MAT ZH, V66, P939
[4] Mokhon'ko A. Z., 2000, MATH STUD, V13, P203
[5] Mokhon'ko AA, 2004, NATO SCI SER II MATH, V147, P91
[6] Mokhonko A. A., 2004, UKR MATH J, V56, P577
[7] Mokhonko AZ., 1981, SIB MAT ZH, V22, P213
[8] VANDERWAERDEN BL, 1976, ALGEBRA

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