Article ID Journal Published Year Pages File Type
4673136 Indagationes Mathematicae 2013 27 Pages PDF
Abstract
Let f,g be two transcendental meromorphic functions in C, let P be a polynomial of uniqueness for meromorphic functions in C and let α be a small meromorphic function with respect to f and g. If f′P′(f) and g′P′(g) share α counting multiplicity, then we show that f=g provided that the multiplicity orders of zeros of P′ satisfy certain inequalities. There is no additional condition on α. We consider the particular case of entire functions.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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