NDLI: Finite Order Solutions of Second Order Linear Differential Equations

Content Provider	Scilit
Author	Gundersen, Gary G.
Copyright Year	1988
Description	We consider the differential equation where and are entire functions. We will find conditions on and which will guarantee that every solution of the equation will have infinite order. We will also find conditions on and which will guarantee that any finite order solution of the equation will not have zero as a Borel exceptional value. We will also show that if and satisfy certain growth conditions, then any finite order solution of the equation will satisfy certain other growth conditions. Related results are also proven. Several examples are given to complement the theory.
Related Links	https://www.ams.org/tran/1988-305-01/S0002-9947-1988-0920167-5/S0002-9947-1988-0920167-5.pdf
Ending Page	429
Page Count	15
Starting Page	415
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2001061
Journal	Transactions of the American Mathematical Society
Issue Number	1
Volume Number	305
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Order Linear Differential Equations Linear Differential Finite Order Solutions Second
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Finite Order Solutions of Second Order Linear Differential Equations