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Difference Nevanlinna theories with vanishing and infinite periods

Difference Nevanlinna theories with vanishing and infinite periods

By extending the idea of a difference operator with a fixed step to a varying-step difference operator, we establish a difference Nevanlinna theory for meromorphic functions with steps tending to zero (vanishing period) and a difference Nevanlinna theory for finiteorder meromorphic functions with steps tending to infinity (infinite period).We can …