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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 819 - 829 (11page)
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In this paper, we study the order ofgrowth of solutions to the non-homogeneous linear differential equation\begin{equation*}f^{\left( k\right) }+A_{k-1}e^{az}f^{\left( k-1\right) }+\cdots+A_{1}e^{az}f^{\prime }+A_{0}e^{az}f=F_{1}e^{az}+F_{2}e^{bz},\end{equation*}where $A_{j}\left( z\right) $ $\left( \not\equiv 0\right) $ $\left(j=0,1,\cdots ,k-1\right) $, $F_{j}\left( z\right) $ $\left( \not\equiv0\right) $ $\left( j=1,2\right) $ are entire functions and $a$, $b$ arecomplex numbers such that $ab\left( a-b\right) \neq 0$.
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참고문헌 (12)
참고문헌 신청
P. D. Barry / 1963 / On a theorem of Besicovitch / Quart. J. Math. Oxford Ser 2(14):293~302
P. D. Barry / 1970 / Some theorems related to the cos (πρ) theorem / Proc. London Math. Soc 21(3):334~360
Z. X. Chen / 1994 / Zeros of meromorphic solutions of higher order linear differential equations / Analysis 14(4):425~438
S. A. Gao / 1998 / The Complex Oscillation Theory of Linear Differential Equations / Middle China University of Technology Press
G. G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc 37(1):88~104
P. D. Barry / 1970 / Some theorems related to the cos (πρ) theorem / Proc. London Math. Soc 21(3):334~360
Z. X. Chen / 1994 / Zeros of meromorphic solutions of higher order linear differential equations / Analysis 14(4):425~438
S. A. Gao / 1998 / The Complex Oscillation Theory of Linear Differential Equations / Middle China University of Technology Press
G. G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc 37(1):88~104
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