Weighted value sharing and uniqueness of meromorphic functions

By I. Lahiri. 2001

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UNIQUENESS OF A MEROMORPHIC FUNCTION AND ITS DERIVATIVE (2004, positive): “In the paper we deal with this problem with the aid of the notion of weighted sharing of values as introduced in [4, 5] and we see that it is indeed possible to some extent, at the cost of some change in the condition (1.”
Weighted value sharing and a question of I. Lahiri (2004, background): “If 2ð0, f Þ þ 2ð1, f Þ þ 2ð0, gÞ þ 2ð1, gÞ > 3, then f g or f g 1: Extending the Theorem D, Lahiri [4] proved the following result: THEOREM E Let f , g share (1, 2).”
Weighted Sharing of Two Sets (2006, methodology): “To this end we employ the idea of weighted sharing of values and sets introduced in [2], [3] which measures how close a shared value is to being shared IM or to being shared CM.”