Uniqueness of meromorphic functions sharing four small functions on annuli

Abstract

Under a certain condition, we propose a uniqueness theorem about meromorphic functions sharing four distinct small functions on an annulus. Two counter examples are given in order to show the certain condition is necessary. Our results generalize or improve the previous theorems due to T. B. Cao et al. and N. Wu et al.

On the Uniqueness of Meromorphic Functions on Annuli in terms of Deficiencies

“…From the very point of sharing small functions, we studied above theorems in [19] and provided the following uniqueness theorem of meromorphic functions sharing four small functions on annuli.…”