Growth on Meromorphic Solutions of Differential–Difference Equations
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DOI: 10.1007/s40840-019-00753-5
Abstract: By using Nevanlinna theory and linear algebra, we show that the number one is a lower bound of the hyper-order of any meromorphic solution of a nonlinear differential–difference equation under certain conditions. read more here.
Keywords: solutions differential; growth meromorphic; difference equations; differential difference ... See more keywords
Generalized growth of meromorphic functions and rational approximation
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DOI: 10.2298/fil2301293a
Abstract: For an arbitrary compact set E ? C we consider the Newton-Pad? approximant and rational approximation error of meromorphic function f and relate these to the generalized order and generalized type of f. Our results… read more here.
Keywords: functions rational; rational approximation; generalized growth; approximation ... See more keywords