Schwarzian derivatives and zeros of solutions to second order linear differential equations

Schwarzian derivatives and zeros of solutions to second order linear differential equations
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二阶线性微分方程的施瓦茨导数和解的零点

DOI:
10.1090/s0002-9939-1991-1069689-5
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发表时间:
1991
期刊:
--
影响因子:
--
通讯作者:
J. Rossi
J. Rossi
中科院分区:
--
文献类型:
--
作者:
A. Hinkkanen;J. Rossi

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让A是完整的。设存在一个无界拟圆盘D,使得A在D中足够小.我们证明了A在D中足够小。证明了y″+Ay=0的任何非平凡解在D中至多有一个零点.我们证明,如果A= Qexp P,其中P和Q是多项式,通常可以取D为开角π/n,其中n是P的次数
Let A be entire. Suppose that there exists an unbounded quasidisk D such that A is sufficiently small in D. We prove that A is sufficiently small in D. We prove that then any nontrivial solution to y″+Ay=0 has at most one zero in D. We show that if A=Q exp P where P and Q are polynomials, one can usually take D to be an angle of opening π/n where n is the degree of P
DOI: --
发表时间: 2014
期刊:
影响因子: --
作者:
L. Lui;H. Shiga and Z. Sun;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga
通讯作者: H. Shiga