It is shown that two non-constant meromorphic functions that share two pairs of values counting multiplicities and share three other pairs of values ignoring multiplicities are Möbius transformations of each… Click to show full abstract
It is shown that two non-constant meromorphic functions that share two pairs of values counting multiplicities and share three other pairs of values ignoring multiplicities are Möbius transformations of each other. This result is sharp. Examples of meromorphic functions that share four or five pairs of values are discussed.
               
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