Growth of solutions of second order linear differential equations

Authors:
Ilpo Laine and Pengcheng Wu

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2693-2703

MSC (1991):
Primary 34A20; Secondary 30D05, 30D20, 30D35

DOI:
https://doi.org/10.1090/S0002-9939-00-05350-8

Published electronically:
March 1, 2000

MathSciNet review:
1664418

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We consider the differential equation , where and are entire functions. Provided and as outside a set of finite logarithmic measure, we prove that all nonconstant solutions of this equation are of infinite order.

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Additional Information

**Ilpo Laine**

Affiliation:
Department of Mathematics, University of Joensuu, P.O. Box 111, FIN-80101 Joensuu, Finland

Email:
Ilpo.Laine@joensuu.fi

**Pengcheng Wu**

Affiliation:
Department of Mathematics, Nationality Institute of Guizhou, Guiyang, 550025, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9939-00-05350-8

Keywords:
Differential equation,
entire function,
finite order,
Nevanlinna characteristic

Received by editor(s):
August 18, 1998

Received by editor(s) in revised form:
October 27, 1998

Published electronically:
March 1, 2000

Additional Notes:
This work was supported in part by the Finnish Academy research grant 37701.

Communicated by:
Albert Baernstein II

Article copyright:
© Copyright 2000
American Mathematical Society