Value distribution of the q-difference product of entire functions
For a complex value $q\neq 0, 1$, and a transcendental entire function f(z) with order $0<\sigma(f)<\infty$, we study the value distribution of q-difference product f(z)f(qz) and $f^{n}(z)(f(qz)-f(z))$. Properties of entire solution of a certain q-difference linear equation are also consid...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/233/abstr.html |
| _version_ | 1818766532693458944 |
|---|---|
| author | Na Xu Ting-Bin Cao Chun-Ping Zhong |
| author_facet | Na Xu Ting-Bin Cao Chun-Ping Zhong |
| author_sort | Na Xu |
| collection | DOAJ |
| description | For a complex value $q\neq 0, 1$, and a transcendental entire function
f(z) with order $0<\sigma(f)<\infty$, we study the value distribution
of q-difference product f(z)f(qz) and $f^{n}(z)(f(qz)-f(z))$.
Properties of entire solution of a certain q-difference linear
equation are also considered. |
| first_indexed | 2024-12-18T08:35:29Z |
| format | Article |
| id | doaj.art-09c7e090a79c4f6288e1e5fec7db68db |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T08:35:29Z |
| publishDate | 2014-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-09c7e090a79c4f6288e1e5fec7db68db2022-12-21T21:14:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-11-012014233,110Value distribution of the q-difference product of entire functionsNa Xu0Ting-Bin Cao1Chun-Ping Zhong2 Xiamen Univ., Xiamen, China Nanchang Univ. Jiangxi, China Xiamen Univ., Xiamen, China For a complex value $q\neq 0, 1$, and a transcendental entire function f(z) with order $0<\sigma(f)<\infty$, we study the value distribution of q-difference product f(z)f(qz) and $f^{n}(z)(f(qz)-f(z))$. Properties of entire solution of a certain q-difference linear equation are also considered.http://ejde.math.txstate.edu/Volumes/2014/233/abstr.htmlNevanlinna theoryq-differenceentire function |
| spellingShingle | Na Xu Ting-Bin Cao Chun-Ping Zhong Value distribution of the q-difference product of entire functions Electronic Journal of Differential Equations Nevanlinna theory q-difference entire function |
| title | Value distribution of the q-difference product of entire functions |
| title_full | Value distribution of the q-difference product of entire functions |
| title_fullStr | Value distribution of the q-difference product of entire functions |
| title_full_unstemmed | Value distribution of the q-difference product of entire functions |
| title_short | Value distribution of the q-difference product of entire functions |
| title_sort | value distribution of the q difference product of entire functions |
| topic | Nevanlinna theory q-difference entire function |
| url | http://ejde.math.txstate.edu/Volumes/2014/233/abstr.html |
| work_keys_str_mv | AT naxu valuedistributionoftheqdifferenceproductofentirefunctions AT tingbincao valuedistributionoftheqdifferenceproductofentirefunctions AT chunpingzhong valuedistributionoftheqdifferenceproductofentirefunctions |