Geodesic
Relations between the small functions and the solutions of certain second-order differential equations
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we investigate the relations between the small functions and the solutions, first, second derivatives, and differential polynomial of the solutions to the differential equation $$ f''+A_1e^{P(z)}f'+A_0e^{Q(z)}f=0, $$ where $P(z)=a_nz^n+\dots+a_0, Q(z)=b_nz^n+\dots+b_0$ are polynomials with degree $n ( n\geq1), a_i, b_i ( i=0,1,\dots,n), a_nb_n\neq 0$ are complex constants, $A_j(z)\not \equiv 0 (j=0,1)$ are entire functions with $\sigma(A_j)$.
Classification : 34M10
Keywords: entire function, exponent of convergence of the zero-sequence 
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     author = {Liu, Huifang and Mao, Zhiqiang},
     title = {Relations between the small functions and the solutions of certain second-order differential equations},
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     year = {2007},
     language = {en},
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Liu, Huifang; Mao, Zhiqiang. Relations between the small functions and the solutions of certain second-order differential equations. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a42/