Meromorphic function

In this paper, by using q-difference analogue of the lemma on the logarithmic derivative and Nevanlinna theory for meromorphic functions in several variables, we study the proximity function of solutions to q-shift difference-partial differential.

8p tuetuebinhan000 23-01-2025 2 1   Download

Objectives of research: The thesis is to give and prove some uniaueness theorems of the meromorphic functions f(z) on the complex plane which has hyperorder plane less than 1 share a part of the values with its f(z + c).

27p thebadguys 08-06-2021 17 4   Download

In 1961, Baker, Gammel and Wills conjectured that for functions f meromorphic in the unit ball, a subsequence of its diagonal Pad´ approximants e converges uniformly in compact subsets of the ball omitting poles of f . There is also apparently a cruder version of the conjecture due to Pad´ himself, going e back to the early twentieth century. We show here that for carefully chosen q on the unit circle, the Rogers-Ramanujan continued fraction 1+ qz| q 2 z| q 3 z| + + + ··· |1 |1 |1 provides a counterexample to the conjecture. We also highlight some...

44p tuanloccuoi 04-01-2013 53 7   Download

Trong bài báo này, chúng ta nghiên cứu sự tồn tại của các giải pháp liên tục không meromorphic f và g của P phương trình chức năng (f) = Q (g), P (z) và Q (z) là các đa thức phi tuyến với hệ số phức tạplĩnh vực C.

13p phalinh21 01-09-2011 50 4   Download