Estimating the polygamma functions for negative integers
The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neutrix and neutrix limit are applied to generalize and redefine the polygamma functions ψ(r)(x) for all x∈R and r∈N. Also, further results are given.
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
SpringerOpen
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30222/ http://psasir.upm.edu.my/id/eprint/30222/1/Estimating%20the%20polygamma%20functions%20for%20negative%20integers.pdf |
| _version_ | 1848846616405999616 |
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| author | Salem, Ahmed Kilicman, Adem |
| author_facet | Salem, Ahmed Kilicman, Adem |
| author_sort | Salem, Ahmed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neutrix and neutrix limit are applied to generalize and redefine the polygamma functions ψ(r)(x) for all x∈R and r∈N. Also, further results are given. |
| first_indexed | 2025-11-15T09:05:32Z |
| format | Article |
| id | upm-30222 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:32Z |
| publishDate | 2013 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302222016-01-28T04:20:46Z http://psasir.upm.edu.my/id/eprint/30222/ Estimating the polygamma functions for negative integers Salem, Ahmed Kilicman, Adem The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neutrix and neutrix limit are applied to generalize and redefine the polygamma functions ψ(r)(x) for all x∈R and r∈N. Also, further results are given. SpringerOpen 2013-11 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30222/1/Estimating%20the%20polygamma%20functions%20for%20negative%20integers.pdf Salem, Ahmed and Kilicman, Adem (2013) Estimating the polygamma functions for negative integers. Journal of Inequalities and Applications, 2013. art. no. 523. pp. 1-8. ISSN 1025-5834; ESSN:1029-242X 10.1186/1029-242X-2013-523 English |
| spellingShingle | Salem, Ahmed Kilicman, Adem Estimating the polygamma functions for negative integers |
| title | Estimating the polygamma functions for negative integers |
| title_full | Estimating the polygamma functions for negative integers |
| title_fullStr | Estimating the polygamma functions for negative integers |
| title_full_unstemmed | Estimating the polygamma functions for negative integers |
| title_short | Estimating the polygamma functions for negative integers |
| title_sort | estimating the polygamma functions for negative integers |
| url | http://psasir.upm.edu.my/id/eprint/30222/ http://psasir.upm.edu.my/id/eprint/30222/ http://psasir.upm.edu.my/id/eprint/30222/1/Estimating%20the%20polygamma%20functions%20for%20negative%20integers.pdf |