Complex meromorphic functions f' P' (f ), g' P' (g) sharing a small function

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 regards 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 order of zeroes of P satisfy certain inequalities. There is no additional condition on α. We consider the particular case of entire functions.
Document type :
Journal articles
Complete list of metadatas

https://hal-clermont-univ.archives-ouvertes.fr/hal-01922084
Contributor : Alain Escassut <>
Submitted on : Wednesday, November 14, 2018 - 11:56:36 AM
Last modification on : Tuesday, November 27, 2018 - 1:21:02 AM
Long-term archiving on : Friday, February 15, 2019 - 1:28:14 PM

File

EBO. Indag.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01922084, version 1

Collections

Citation

Kamal Boussaf, Alain Escassut, Jacqueline Ojeda. Complex meromorphic functions f' P' (f ), g' P' (g) sharing a small function. Indagationes Mathematicae (New series), 2013. ⟨hal-01922084⟩

Share

Metrics

Record views

20

Files downloads

28