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
Gromov-Frechet distance between curves
The Gromov-Frechet distance is obtained from the Frechet distance between metric curves similarly as the Gromov-Hausdorff distance is obtained from the Hausdorff distance. We prove that the Gromov-Frechet space is separa...
Kyrychenko Volodymyr Vasylovych (17 June 1942 -- 2 April 2019)
Necrology about Kyrychenko Volodymyr Vasylovych
Symmetric polynomials on the Cartesian power of Lp on the semi-axis
The paper deals with polynomials in the complex Banach space (Lp[0,+∞))n, which are the nth Cartesian power of the complex Banach space of Lebesgue measurable integrable in a power p complex-valued functions on [0,+∞), w...
Matrix representation of Taylor’s formula for mappings in finite dimensional spaces
In this paper, the matrix representations of derivatives, differentials and Taylor’s formulas for functionals and mappings are presented. The behavior law of intermediate points in the formula’s remainder terms is found...
Some improvements of criteria of L-index boundedness in direction
In this paper, we improve criteria of boundedness of L-index in direction for entire functions in Cn. They give an estimate of maximum modulus on circles of various radius, maximum modulus by minimum modulus on circle an...