On Functional Equations in the Field of Meromorphic Functions
碩士 === 國立政治大學 === 應用數學研究所 === 98 === In this thesis, we use the theory of value distribution to study the existence of solution of the following functional equation: \[\sum_{j=1}^pa_j(z)f_j(z)^{k_j}=1,\] where $a_1(z),\cdots ,a_p(z)$ are meromorphic functions. For some special case, new and old exam...
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2010
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| Online Access: | http://ndltd.ncl.edu.tw/handle/22000336950592586781 |
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ndltd-TW-098NCCU55070122016-04-25T04:29:10Z http://ndltd.ncl.edu.tw/handle/22000336950592586781 On Functional Equations in the Field of Meromorphic Functions 半純函數體中的函數方程 Yeh, Chang Ching 葉長青 碩士 國立政治大學 應用數學研究所 98 In this thesis, we use the theory of value distribution to study the existence of solution of the following functional equation: \[\sum_{j=1}^pa_j(z)f_j(z)^{k_j}=1,\] where $a_1(z),\cdots ,a_p(z)$ are meromorphic functions. For some special case, new and old examples of the solutions are given. For the general case, a necessary condition for the existence of solution is considered. Moreover, we obtain a result on the distribution of zeros and poles of a class of meromorphic functions. Chen, Ten Ging 陳天進 2010 學位論文 ; thesis 45 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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碩士 === 國立政治大學 === 應用數學研究所 === 98 === In this thesis, we use the theory of value distribution to study the existence of solution of the following functional equation:
\[\sum_{j=1}^pa_j(z)f_j(z)^{k_j}=1,\]
where $a_1(z),\cdots ,a_p(z)$ are meromorphic functions. For some special case, new and old examples of the solutions are given. For the general case, a necessary condition for the existence of solution is considered. Moreover, we obtain a result on the distribution of zeros and poles of a class of meromorphic functions.
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| author2 |
Chen, Ten Ging |
| author_facet |
Chen, Ten Ging Yeh, Chang Ching 葉長青 |
| author |
Yeh, Chang Ching 葉長青 |
| spellingShingle |
Yeh, Chang Ching 葉長青 On Functional Equations in the Field of Meromorphic Functions |
| author_sort |
Yeh, Chang Ching |
| title |
On Functional Equations in the Field of Meromorphic Functions |
| title_short |
On Functional Equations in the Field of Meromorphic Functions |
| title_full |
On Functional Equations in the Field of Meromorphic Functions |
| title_fullStr |
On Functional Equations in the Field of Meromorphic Functions |
| title_full_unstemmed |
On Functional Equations in the Field of Meromorphic Functions |
| title_sort |
on functional equations in the field of meromorphic functions |
| publishDate |
2010 |
| url |
http://ndltd.ncl.edu.tw/handle/22000336950592586781 |
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AT yehchangching onfunctionalequationsinthefieldofmeromorphicfunctions AT yèzhǎngqīng onfunctionalequationsinthefieldofmeromorphicfunctions AT yehchangching bànchúnhánshùtǐzhōngdehánshùfāngchéng AT yèzhǎngqīng bànchúnhánshùtǐzhōngdehánshùfāngchéng |
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