|
|
| |
| Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator* |
| |
Citation： |
Huixin DAI,Tingbin CAO,Yezhou LI.Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator*[J].Chinese Annals of Mathematics B,2022,43(3):383~400 |
| Page view： 677
Net amount： 821 |
Authors： |
Huixin DAI; Tingbin CAO;Yezhou LI |
Foundation： |
National Natural Science Foundation of China (Nos. 12071047,11871260) and the Fundamental Research Funds for the Central Universities (No. 500421126). |
|
|
| Abstract： |
Let f : C → Pn be a holomorphic curve of order zero. The authors establish a Jackson difference analogue of Cartan’s second main theorem for the Jackson q-Casorati determinant and introduce a truncated second main theorem of Jackson difference operator for holomorphic curves. In addition, a Jackson difference Mason’s theorem is proved by using a Jackson difference radical of a polynomial. Furthermore, they extend the Mason’s theorem for m + 1 polynomials. Some examples are constructed to show that their results are accurate. |
Keywords： |
Jackson difference operator, Nevanlinna theory, Holomorphic curve,Cartan’s second main theorem, Mason’s theorem, Polynomial |
Classification： |
32H30, 30D35, 30C10 |
|
|
Download PDF Full-Text
|
|
|
|
