On zeros of differences of meromorphic functions

Yong Liu; HongXun Yi

Yong Liu ; HongXun Yi

Annales Polonici Mathematici, Tome 101 (2011), p. 167-178 / Harvested from The Polish Digital Mathematics Library

Résumé

Let f be a transcendental meromorphic function and $g (z) = f (z + c ₁) + \dots + f (z + c_{k}) - k f (z)$ and $g_{k} (z) = f (z + c ₁) \dots f (z + c_{k}) - f^{k} (z)$ . A number of results are obtained concerning the exponents of convergence of the zeros of g(z), $g_{k} (z)$ , g(z)/f(z), and $g_{k} (z) / f^{k} (z)$ .

Publié le : 2011-01-01

Zbl 1230.30016

EUDML-ID : urn:eudml:doc:280606

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Yong Liu; HongXun Yi. On zeros of differences of meromorphic functions. Annales Polonici Mathematici, Tome 101 (2011) pp. 167-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-2-6/