The possible orders of solutions of linear differential equations with polynomial coefficients

The possible orders of solutions of linear differential equations with polynomial coefficients
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DOI:
10.1090/s0002-9947-98-02080-7
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发表时间:
1998
影响因子:
1.3
通讯作者:
G. Gundersen;E. M. Steinbart;Shupei Wang
G. Gundersen;E. M. Steinbart;Shupei Wang
中科院分区:
数学1区
文献类型:
--
作者:
G. Gundersen;E. M. Steinbart;Shupei Wang

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我们找到了形式为f(n) +Pn _l(z)f(n-l) ++Po(z)f0的方程的可能阶数的具体信息,其中Po(z),Pl(z) ?aPnL(Z)是po(Z) g0的多项式。给出了几个例子。
We find specific inforrnation about the possible orders of transeendental solutions of equations of the form f(n) +Pn _l(z)f(n-l) ++Po(z)f0, where Po(Z),Pl(Z)? aPnL(Z) are polynomials with po(z) g 0. Several examples are given.