Weakly weighted-sharing and uniqueness of homogeneous differential polynomials

Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 1

Abstract

In the year 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between ``CM'' and ``IM''. In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of nonconstant homogeneous differential polynomials P[f] and P[g] generated by meromorphic functions f and g respectively. Our results generalize the results due to S. Lin and W. Lin, and H-Y. Xu and Y. Hu.

Authors and Affiliations

D. C. Pramanik, Ja. Roy

Keywords

Related Articles

Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations

The concept of complex valued bivariate entire functions of bounded index is extended to Cn valued bivariate entire functions by replacing the absolute value in the definition of an entire function of bounded index by th...

About some problem for entire functions of unbounded index in any direction

In this paper, we select a class of entire functions F(z1,…,zn) such that for any direction (b1,…,bn)∈Cn∖{0} and for every point (z01,…,z0n)∈C the function F(z01+tb1,…,z0n+tbn) is of bounded index as a function in variab...

Approximation of periodic analytic functions by Fejer sums

For upper bounds of the deviations of Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equ...

The boundary-value problem for the linear degenerated singularly perturbed system of differential equations of the second order (in Ukrainian)

It is investigated the possibility of construction of the asymptotic solution of the boundary-value problem for the linear singularly perturbed system of differential equations of the second order with identically degene...

An alternative look at the structure of graph inverse semigroups

For any graph inverse semigroup G(E) we describe subsemigroups D0=D∪{0} and J0=J∪{0} of G(E) where D and J are arbitrary D-class and J-class of G(E), respectively. In particular, we prove that for each D-class D of a gra...

Download PDF file
  • EP ID EP584891
  • DOI 10.15330/ms.51.1.41-49
  • Views 48
  • Downloads 0

How To Cite

D. C. Pramanik, Ja. Roy (2019). Weakly weighted-sharing and uniqueness of homogeneous differential polynomials. Математичні Студії, 51(1), 41-49. https://europub.co.uk./articles/-A-584891