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.
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my.upm.eprints.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 |
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English English |
| 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. |
| format |
Article |
| author |
Salem, Ahmed Kilicman, Adem |
| spellingShingle |
Salem, Ahmed Kilicman, Adem Estimating the polygamma functions for negative integers |
| author_facet |
Salem, Ahmed Kilicman, Adem |
| author_sort |
Salem, Ahmed |
| title |
Estimating the polygamma functions for negative integers |
| title_short |
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_sort |
estimating the polygamma functions for negative integers |
| publisher |
SpringerOpen |
| publishDate |
2013 |
| url |
http://psasir.upm.edu.my/id/eprint/30222/1/Estimating%20the%20polygamma%20functions%20for%20negative%20integers.pdf http://psasir.upm.edu.my/id/eprint/30222/ |
| _version_ |
1643829993798631424 |
| score |
13.209306 |