Name
Title | ||
|---|---|---|
The Asymptotic Growth Behavior of Entire Solutions to Higher Dimensional Polynomial Cauchy-Riemann Equations |
Abstract | ||
|---|---|---|
In this paper, the asymptotic growth behavior of entire Clifford algebra valued solutions to polynomial Cauchy-Riemann equations are discussed in higher dimensional Euclidean spaces. First we introduce the concept of the growth order of the entire solutions to higher dimensional polynomial Cauchy-Riemann equations. And then, we establish an explicit relationship between the order of growth ρ(f) and the Taylor coefficients of an arbitrary entire solutions to polynomial Cauchy-Riemann equations. Furthermore, we can construct any examples of entire Cauchy-Riemann equations; solutions to polynomial Cauchy-Riemann equations whose growth behavior of order ρ for any real value 1 ≤ ρ ≤+∞. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1109/CIS.2017.00090 | 2017 13th International Conference on Computational Intelligence and Security (CIS) |
Keywords | Field | DocType |
Cauchy-Riemann equations,Maximum term,Asymptotic growth | Clifford algebra,Mathematical optimization,Computational intelligence,Polynomial,Computer science,Pure mathematics,Cauchy–Riemann equations,Euclidean geometry,Taylor series | Conference |
ISBN | Citations | PageRank |
978-1-5386-4823-0 | 0 | 0.34 |
References | Authors | |
0 | 1 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhongwei Si | 1 | 43 | 7.79 |