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has infinite order.
has infinite order and.
Hence, 'most' solutions of (1.1) will have infinite order.
Therefore the only possibility is that is of infinite order.
Hence, 'most' solutions of equation (1) will have infinite order.
has infinite order with σ 2 ( f ) = 1.
Such autoregressive, infinite order process may represent a Gaussian ARFIMA.
Then every nontrivial solution of (1.5) is of infinite order.
Figure 10 An example of a finitely generated group of infinite order is \((\mathbb{Z}, +, \{1\})\).
Remark 1.1 Chuang [16] proved that every meromorphic function f with infinite order ρ ( r ) has as least one Borel direction of infinite order ρ ( r ).
We prove here that it remains true even in the infinite order case.
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