Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation
The existence and growth of meromorphic solutions f(z) for some q-difference equations are studied, and some estimates for the exponent of convergence of poles of Δqf, Δq2f, Δqf/f, and Δq2f/f are also obtained. Our theorems are improvements and extensions of the previous results.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8318570 |
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| _version_ | 1849397228536332288 |
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| author | Peng Jun Zhao Hong Yan Xu |
| author_facet | Peng Jun Zhao Hong Yan Xu |
| author_sort | Peng Jun Zhao |
| collection | DOAJ |
| description | The existence and growth of meromorphic solutions f(z) for some q-difference equations are studied, and some estimates for the exponent of convergence of poles of Δqf, Δq2f, Δqf/f, and Δq2f/f are also obtained. Our theorems are improvements and extensions of the previous results. |
| format | Article |
| id | doaj-art-afbcebea62d84e65ad2c70fde519d2c7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-afbcebea62d84e65ad2c70fde519d2c72025-08-20T03:39:05ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/83185708318570Some Properties of Solutions for Some q-Difference Equations Containing Painlevé EquationPeng Jun Zhao0Hong Yan Xu1School of Mathematics and Computer Applications, Shangluo University, Shangluo, Shaanxi 726000, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, ChinaThe existence and growth of meromorphic solutions f(z) for some q-difference equations are studied, and some estimates for the exponent of convergence of poles of Δqf, Δq2f, Δqf/f, and Δq2f/f are also obtained. Our theorems are improvements and extensions of the previous results.http://dx.doi.org/10.1155/2018/8318570 |
| spellingShingle | Peng Jun Zhao Hong Yan Xu Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation Journal of Function Spaces |
| title | Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation |
| title_full | Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation |
| title_fullStr | Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation |
| title_full_unstemmed | Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation |
| title_short | Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation |
| title_sort | some properties of solutions for some q difference equations containing painleve equation |
| url | http://dx.doi.org/10.1155/2018/8318570 |
| work_keys_str_mv | AT pengjunzhao somepropertiesofsolutionsforsomeqdifferenceequationscontainingpainleveequation AT hongyanxu somepropertiesofsolutionsforsomeqdifferenceequationscontainingpainleveequation |