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Growth of meromorphic solutions of delay differential equations

Halburd, R; Korhonen, R; (2017) Growth of meromorphic solutions of delay differential equations. Proceedings of the American Mathematical Society , 145 (6) pp. 2513-2526. 10.1090/proc/13559. Green open access

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Abstract

Necessary conditions are obtained for certain types of rational delay differential equations to admit a non-rational meromorphic solution of hyper-order less than one. The equations obtained include delay Painlev\'e equations and equations solved by elliptic functions.

Type: Article
Title: Growth of meromorphic solutions of delay differential equations
Open access status: An open access version is available from UCL Discovery
DOI: 10.1090/proc/13559
Publisher version: https://doi.org/10.1090/proc/13559
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1531016
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