Mar 27, 2024
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Five-Value Theorem of Nevanlinna
Five-Value Theorem of Nevanlinna
In German known as Fünf-Punkte-Satz. This theorem is astounding. It says: If two meromorphic functions share five values ignoring multiplicity, then both functions are equal. Two functions, and , are said to share the value if and have the same solutions (zeros). More precisely, suppose and are meromorphic functions and are five distinct values. If where then . For a generalization see Some…
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