A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2
We consider a family {τm:m≥2} of interval maps which are generalizations of the Gauss transformation. For the continued fraction expansion arising from τm, we solve a Gauss-Kuzmin-type problem.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/984650 |
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| _version_ | 1832553351250706432 |
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| author | Dan Lascu |
| author_facet | Dan Lascu |
| author_sort | Dan Lascu |
| collection | DOAJ |
| description | We consider a family {τm:m≥2} of interval maps which are generalizations of the Gauss transformation.
For the continued fraction expansion arising from τm, we solve a Gauss-Kuzmin-type problem. |
| format | Article |
| id | doaj-art-a35d30abcd064a0991050bdcd73bd927 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a35d30abcd064a0991050bdcd73bd9272025-02-03T05:54:18ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/984650984650A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2Dan Lascu0Mircea cel Batran Naval Academy, 1 Fulgerului, 900218 Constanta, RomaniaWe consider a family {τm:m≥2} of interval maps which are generalizations of the Gauss transformation. For the continued fraction expansion arising from τm, we solve a Gauss-Kuzmin-type problem.http://dx.doi.org/10.1155/2014/984650 |
| spellingShingle | Dan Lascu A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2 The Scientific World Journal |
| title | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2 |
| title_full | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2 |
| title_fullStr | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2 |
| title_full_unstemmed | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2 |
| title_short | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m≥2 |
| title_sort | gauss kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m≥2 |
| url | http://dx.doi.org/10.1155/2014/984650 |
| work_keys_str_mv | AT danlascu agausskuzmintheoremforcontinuedfractionsassociatedwithnonpositiveintegerpowersofanintegerm2 AT danlascu gausskuzmintheoremforcontinuedfractionsassociatedwithnonpositiveintegerpowersofanintegerm2 |