Second Main Theorems of Jackson Difference Operator for Holomorphic Curves with Slowly Moving Targets
- Resource Type
- Original Paper
- Authors
- Zhu, Yuehuan
- Source
- Bulletin of the Iranian Mathematical Society. 50(4)
- Subject
- Second main theorem
Jackson difference operator
Moving targets
Uniqueness theorem
32H30
- Language
- English
- ISSN
- 1017-060X
1735-8515
In this paper, we investigate some new truncated second main theorems by using the Jackson pPn(C)-Casorati determinant, where the truncated counting functions are assigned varying weights. We specifically concentrate on the Jackson difference operator applied to zero-order holomorphic mappings intersecting a finite set of slowly moving targets in pPn(C). As an application, we prove a uniqueness theorem of meromorphic functions sharing some small functions with the Jackson-type counting functions.