Result: Infinite families of accelerated series for some classical constants by the Markov-WZ Method
Title:
Infinite families of accelerated series for some classical constants by the Markov-WZ Method
Authors:
Contributors:
Inria Sophia Antipolis-Méditerranée / I3s, Service Ist
Source:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 7 (2005)
Discrete Mathematics & Theoretical Computer Science, Vol 7, Iss 1 (2005)
Discrete Mathematics & Theoretical Computer Science, Vol 7, Iss 1 (2005)
Publisher Information:
Centre pour la Communication Scientifique Directe (CCSD), 2005.
Publication Year:
2005
Subject Terms:
Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], 0102 computer and information sciences, wz theory, 01 natural sciences, hypergeometric series, series convergence, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, WZ theory, Numerical approximation and evaluation of special functions, 0101 mathematics, Orthogonal polynomials (combinatorics), Mathematics
Document Type:
Academic journal
Article
File Description:
application/pdf; application/xml
Language:
English
ISSN:
1365-8050
DOI:
10.46298/dmtcs.342
Access URL:
https://dmtcs.episciences.org/342/pdf
https://dmtcs.episciences.org/342
https://doi.org/10.46298/dmtcs.342
https://inria.hal.science/hal-00959025v1/document
https://inria.hal.science/hal-00959025v1
https://zbmath.org/2159658
https://doaj.org/article/1689cc51e286489db8ddec90bbe2e2e6
https://doaj.org/article/33c2721c2b784016938b5b3b1ec7d81a
https://www.dmtcs.org/pdfpapers/dm070102.pdf
https://hal.inria.fr/hal-00959025
https://hal.inria.fr/hal-00959025/document
https://dblp.uni-trier.de/db/journals/dmtcs/dmtcs7.html#Mohammed05
https://dmtcs.episciences.org/342
https://doi.org/10.46298/dmtcs.342
https://inria.hal.science/hal-00959025v1/document
https://inria.hal.science/hal-00959025v1
https://zbmath.org/2159658
https://doaj.org/article/1689cc51e286489db8ddec90bbe2e2e6
https://doaj.org/article/33c2721c2b784016938b5b3b1ec7d81a
https://www.dmtcs.org/pdfpapers/dm070102.pdf
https://hal.inria.fr/hal-00959025
https://hal.inria.fr/hal-00959025/document
https://dblp.uni-trier.de/db/journals/dmtcs/dmtcs7.html#Mohammed05
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....8af1d30e8d94215867b84d9b01be3f5f
Database:
OpenAIRE
Further Information
In this article we show the Markov-WZ Method in action as it finds rapidly converging series representations for a given hypergeometric series. We demonstrate the method by finding new representations for log(2),ζ (2) and ζ (3).