Some New Transformation Properties of the Nielsen Generalized Polylogarithm
Joint Authors
Feng, Qinghua
Qin, Hui-Zeng
Shang, Nina
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Many of the properties of Nielsen generalized polylogarithm Sn,p(z), for example, the special value and the transformation formulas, play important roles in the computation of higher order radiative corrections in quantum electrodynamics.
In this paper, some transformation formulas of z→p(z),p(z)=1-z,1/z,1/(1-z),z/(z-1), and (1-z)/z are obtained.
In particular, the last three transformation formulas are new results so far in the literature.
By use of these transformation formulas presented, new fast algorithms for Nielsen generalized polylogarithm Sn,p(z) can be designed.
For sn,p=Sn,p(1), a new recurrence formula is also given.
The identities and the calculation of σn,p and an,p are also investigated.
American Psychological Association (APA)
Shang, Nina& Feng, Qinghua& Qin, Hui-Zeng. 2014. Some New Transformation Properties of the Nielsen Generalized Polylogarithm. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-454884
Modern Language Association (MLA)
Shang, Nina…[et al.]. Some New Transformation Properties of the Nielsen Generalized Polylogarithm. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-454884
American Medical Association (AMA)
Shang, Nina& Feng, Qinghua& Qin, Hui-Zeng. Some New Transformation Properties of the Nielsen Generalized Polylogarithm. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-454884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454884