On Complex Differential-Difference Equations of Malmquist Type
In this paper, we shall give some properties of complex differential-difference equation of the form ∑μ=1nαμz∏i=1tfz+ciai0μf′z+ciai1μ⋯fkiz+ciaikiμ/∑ν=1mβνz∏i=1tfz+cibi0νf′z+cibi1ν⋯fkiz+cibikiν=Rz,fz, where aijμ μ=1,2,…,n and bijνν=1,2,…,mi=1,2,…,t;j=0,1,…,ki are non-negative integers, cii=1,2,…,t ar...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9554312 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548607087083520 |
|---|---|
| author | Jianjun Zhang |
| author_facet | Jianjun Zhang |
| author_sort | Jianjun Zhang |
| collection | DOAJ |
| description | In this paper, we shall give some properties of complex differential-difference equation of the form ∑μ=1nαμz∏i=1tfz+ciai0μf′z+ciai1μ⋯fkiz+ciaikiμ/∑ν=1mβνz∏i=1tfz+cibi0νf′z+cibi1ν⋯fkiz+cibikiν=Rz,fz, where aijμ μ=1,2,…,n and bijνν=1,2,…,mi=1,2,…,t;j=0,1,…,ki are non-negative integers, cii=1,2,…,t are distinct, nonzero complex numbers, αμzμ=1,2,…,n and βνzν=1,2,…,m are small functions relative to fz, and Rz,fz is a rational function in fz with coefficients, which are small functions of fz. We also consider related complex functional equations in the paper. These results are improvements of some several previous results. |
| format | Article |
| id | doaj-art-6c36d696fedf47ca81c52070c960032f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6c36d696fedf47ca81c52070c960032f2025-02-03T06:13:34ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9554312On Complex Differential-Difference Equations of Malmquist TypeJianjun Zhang0School of Mathematical SciencesIn this paper, we shall give some properties of complex differential-difference equation of the form ∑μ=1nαμz∏i=1tfz+ciai0μf′z+ciai1μ⋯fkiz+ciaikiμ/∑ν=1mβνz∏i=1tfz+cibi0νf′z+cibi1ν⋯fkiz+cibikiν=Rz,fz, where aijμ μ=1,2,…,n and bijνν=1,2,…,mi=1,2,…,t;j=0,1,…,ki are non-negative integers, cii=1,2,…,t are distinct, nonzero complex numbers, αμzμ=1,2,…,n and βνzν=1,2,…,m are small functions relative to fz, and Rz,fz is a rational function in fz with coefficients, which are small functions of fz. We also consider related complex functional equations in the paper. These results are improvements of some several previous results.http://dx.doi.org/10.1155/2022/9554312 |
| spellingShingle | Jianjun Zhang On Complex Differential-Difference Equations of Malmquist Type Journal of Mathematics |
| title | On Complex Differential-Difference Equations of Malmquist Type |
| title_full | On Complex Differential-Difference Equations of Malmquist Type |
| title_fullStr | On Complex Differential-Difference Equations of Malmquist Type |
| title_full_unstemmed | On Complex Differential-Difference Equations of Malmquist Type |
| title_short | On Complex Differential-Difference Equations of Malmquist Type |
| title_sort | on complex differential difference equations of malmquist type |
| url | http://dx.doi.org/10.1155/2022/9554312 |
| work_keys_str_mv | AT jianjunzhang oncomplexdifferentialdifferenceequationsofmalmquisttype |