Sharing values of \(q\)-difference-differential polynomials. (English) Zbl 1482.30091
Summary: This paper is devoted to the uniqueness of \(q\)-difference-differential polynomials of different types. Using the idea of common zeros and common poles [Q. Wang and Y. Ye, Chin. Ann. Math., Ser. A 35, No. 6, 675–684 (2014; Zbl 1340.30141)], we improve the conditions of the former theorems and obtain some new results on the uniqueness of \(q\)-difference-differential polynomials of meromorphic functions.
MSC:
| 30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
| 39A45 | Difference equations in the complex domain |
| 30C15 | Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) |
Keywords:
meromorphic functions; \(q\)-difference-differential polynomials; sharing values; common zeros; common polesCitations:
Zbl 1340.30141References:
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