Growth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients

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dc.contributor.authorZhou, Yan-Ping
dc.contributor.authorZheng, Xiu-Min
dc.date.accessioned2022-03-22T18:41:07Z
dc.date.available2022-03-22T18:41:07Z
dc.date.issued2017-01-30
dc.description.abstractIn this article, we study the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations and linear differential-difference equations. When there exists only one coefficient having the maximal iterated order or having the maximal iterated type among those having the maximal iterated order, and the above coefficient satisfies certain conditions on its poles, we obtain estimates on the lower bound of the iterated order of the meromorphic solutions. The case p=1 is also discussed and corresponding results are obtained by strengthening some conditions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhou, Y. P., & Zheng, X. M. (2017). Growth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients. Electronic Journal of Differential Equations, 2017(34), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15539
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectLinear difference equation
dc.subjectLinear differential-difference equation
dc.subjectMeromorphic solutions
dc.subjectIterated order
dc.subjectIterated type
dc.titleGrowth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients
dc.typeArticle

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