Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673136 | Indagationes Mathematicae | 2013 | 27 Pages |
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 fâ²Pâ²(f) and gâ²Pâ²(g) share α counting multiplicity, then we show that f=g provided that the multiplicity orders of zeros of Pâ² 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)
Authors
Kamal Boussaf, Alain Escassut, Jacqueline Ojeda,