General Addition Formula for Meromorphic Functions Derived from Residue Theorem
A meromorphic function is characterized by its singularity, and residues of the poles give us various information regarding the function. In the paper the algebraic relations of residues on some meromorphic functions are considered and a generic form of addition formula is induced from them. As the...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2010 |
| ISSN: | 1812-9471 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106639 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | General Addition Formula for Meromorphic Functions Derived from Residue Theorem / H. Yosh // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 2. — С. 183-191. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862648074928652288 |
|---|---|
| author | Yosh, H. |
| author_facet | Yosh, H. |
| citation_txt | General Addition Formula for Meromorphic Functions Derived from Residue Theorem / H. Yosh // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 2. — С. 183-191. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | A meromorphic function is characterized by its singularity, and residues of the poles give us various information regarding the function. In the paper the algebraic relations of residues on some meromorphic functions are considered and a generic form of addition formula is induced from them. As the applications of that formula, the addition formula for rational function, hypergeometric function, elliptic function, and Riemann's Zeta function are studied. Also the general multiplication formula is discussed based on the previous discourse.
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| first_indexed | 2025-12-01T14:14:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106639 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-01T14:14:50Z |
| publishDate | 2010 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Yosh, H. 2016-10-01T15:42:33Z 2016-10-01T15:42:33Z 2010 General Addition Formula for Meromorphic Functions Derived from Residue Theorem / H. Yosh // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 2. — С. 183-191. — Бібліогр.: 7 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106639 A meromorphic function is characterized by its singularity, and residues of the poles give us various information regarding the function. In the paper the algebraic relations of residues on some meromorphic functions are considered and a generic form of addition formula is induced from them. As the applications of that formula, the addition formula for rational function, hypergeometric function, elliptic function, and Riemann's Zeta function are studied. Also the general multiplication formula is discussed based on the previous discourse. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии General Addition Formula for Meromorphic Functions Derived from Residue Theorem Article published earlier |
| spellingShingle | General Addition Formula for Meromorphic Functions Derived from Residue Theorem Yosh, H. |
| title | General Addition Formula for Meromorphic Functions Derived from Residue Theorem |
| title_full | General Addition Formula for Meromorphic Functions Derived from Residue Theorem |
| title_fullStr | General Addition Formula for Meromorphic Functions Derived from Residue Theorem |
| title_full_unstemmed | General Addition Formula for Meromorphic Functions Derived from Residue Theorem |
| title_short | General Addition Formula for Meromorphic Functions Derived from Residue Theorem |
| title_sort | general addition formula for meromorphic functions derived from residue theorem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106639 |
| work_keys_str_mv | AT yoshh generaladditionformulaformeromorphicfunctionsderivedfromresiduetheorem |