4.4 Article

On the Value Distribution of the Differential Polynomial Afnf(k) + Bfn+1-1

Journal

FILOMAT
Volume 35, Issue 2, Pages 579-589

Publisher

UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2102579S

Keywords

Value distribution; Meromorphic function; Differential polynomial

Ask authors/readers for more resources

This paper investigates the value distribution of the differential polynomial for transcendental meromorphic functions, proving an inequality for the Nevanlinna characteristic function. The results improve upon previous research and contribute to the field of mathematics.
In the paper, we study the value distribution of the differential polynomial Af(n)f((k)) + Bf(n+1) - 1, where f is a transcendental meromorphic function and n(>= 2), k(not equal 2) are positive integers. We prove an inequality for the Nevanlinna characteristic function T(r, f) in terms of reduced counting function only. The result of the paper not only improves the result due to Q.D. Zhang [J. Chengdu Ins. Meteor., 20(1992), 12-20], also partially improves a recent result of H. Karmakar and P. Sahoo [Results Math., (2018),73:98].

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available