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Estimating the polygamma functions for negative integers


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


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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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1186/1029-242X-2013-523
Publisher: SpringerOpen
Keywords: Gamma function; Neutrices; Neutrix limits; Polygamma functions.
Depositing User: Umikalthom Abdullah
Date Deposited: 27 Aug 2014 01:59
Last Modified: 28 Jan 2016 04:20
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1029-242X-2013-523
URI: http://psasir.upm.edu.my/id/eprint/30222
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