Engel Series and Cohen-Egyptian Fraction Expansions
Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases ex...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/865705 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555897812942848 |
|---|---|
| author | Vichian Laohakosol Tuangrat Chaichana Jittinart Rattanamoong Narakorn Rompurk Kanasri |
| author_facet | Vichian Laohakosol Tuangrat Chaichana Jittinart Rattanamoong Narakorn Rompurk Kanasri |
| author_sort | Vichian Laohakosol |
| collection | DOAJ |
| description | Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real rational numbers. |
| format | Article |
| id | doaj-art-ff733100f84046f3be6d8c6c1d2e41dd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ff733100f84046f3be6d8c6c1d2e41dd2025-02-03T05:47:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/865705865705Engel Series and Cohen-Egyptian Fraction ExpansionsVichian Laohakosol0Tuangrat Chaichana1Jittinart Rattanamoong2Narakorn Rompurk Kanasri3Department of Mathematics, Kasetsart University, Bangkok 10900, ThailandDepartment of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandDepartment of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandDepartment of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandTwo kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real rational numbers.http://dx.doi.org/10.1155/2009/865705 |
| spellingShingle | Vichian Laohakosol Tuangrat Chaichana Jittinart Rattanamoong Narakorn Rompurk Kanasri Engel Series and Cohen-Egyptian Fraction Expansions International Journal of Mathematics and Mathematical Sciences |
| title | Engel Series and Cohen-Egyptian Fraction Expansions |
| title_full | Engel Series and Cohen-Egyptian Fraction Expansions |
| title_fullStr | Engel Series and Cohen-Egyptian Fraction Expansions |
| title_full_unstemmed | Engel Series and Cohen-Egyptian Fraction Expansions |
| title_short | Engel Series and Cohen-Egyptian Fraction Expansions |
| title_sort | engel series and cohen egyptian fraction expansions |
| url | http://dx.doi.org/10.1155/2009/865705 |
| work_keys_str_mv | AT vichianlaohakosol engelseriesandcohenegyptianfractionexpansions AT tuangratchaichana engelseriesandcohenegyptianfractionexpansions AT jittinartrattanamoong engelseriesandcohenegyptianfractionexpansions AT narakornrompurkkanasri engelseriesandcohenegyptianfractionexpansions |