Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift. Concretely, some estimates on the order and the expon...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-07-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0054/math-2019-0054.xml?format=INT |
| _version_ | 1818958974151557120 |
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| author | Chen Hai-Ying Zheng Xiu-Min |
| author_facet | Chen Hai-Ying Zheng Xiu-Min |
| author_sort | Chen Hai-Ying |
| collection | DOAJ |
| description | In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift. Concretely, some estimates on the order and the exponents of convergence of special points of meromorphic functions and their differences and shifts are obtained. |
| first_indexed | 2024-12-20T11:34:16Z |
| format | Article |
| id | doaj.art-03e821ee823c435d83f2f83a7e8076f6 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-20T11:34:16Z |
| publishDate | 2019-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-03e821ee823c435d83f2f83a7e8076f62022-12-21T19:42:10ZengDe GruyterOpen Mathematics2391-54552019-07-0117167768810.1515/math-2019-0054math-2019-0054Fixed Points of Meromorphic Functions and Their Higher Order Differences and ShiftsChen Hai-Ying0Zheng Xiu-Min1Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, ChinaInstitute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, ChinaIn this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift. Concretely, some estimates on the order and the exponents of convergence of special points of meromorphic functions and their differences and shifts are obtained.http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0054/math-2019-0054.xml?format=INTmeromorphic functionhigher order differenceshiftfixed point30d3539b3239a10 |
| spellingShingle | Chen Hai-Ying Zheng Xiu-Min Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts Open Mathematics meromorphic function higher order difference shift fixed point 30d35 39b32 39a10 |
| title | Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts |
| title_full | Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts |
| title_fullStr | Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts |
| title_full_unstemmed | Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts |
| title_short | Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts |
| title_sort | fixed points of meromorphic functions and their higher order differences and shifts |
| topic | meromorphic function higher order difference shift fixed point 30d35 39b32 39a10 |
| url | http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0054/math-2019-0054.xml?format=INT |
| work_keys_str_mv | AT chenhaiying fixedpointsofmeromorphicfunctionsandtheirhigherorderdifferencesandshifts AT zhengxiumin fixedpointsofmeromorphicfunctionsandtheirhigherorderdifferencesandshifts |