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Estimating the polygamma functions for negative integers


Citation

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

Abstract

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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