On partial fraction expansion for meromorphic functions

Анотація

The paper is a short survey of results evot al fraction expansion for meromorphic functions of one complex variable. In particular, this contains new results by the author on representation of a meromorphic function Ф on ℂ in the form

where {b_k}₁^¥ is the sequence of all its poles arranged in the order of increase of the absolute values and tending to ¥,

is the sequence of principal parts of the Laurent expansion of Ф near the poles, and a is an entire function.