Bisection Series Approach for Exotic 3 F 2 (1)-Series

Marta Na Chen and Wenchang Chu ()
Additional contact information
Marta Na Chen: School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
Wenchang Chu: Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy

Mathematics, 2024, vol. 12, issue 12, 1-12

Abstract: By employing the bisection series approach, two classes of nonterminating 3 F 2 ( 1 ) -series are examined. Several new summation formulae are established in closed form through the summation formulae of Gauss and Kummer for the 2 F 1 ( ± 1 ) -series. They are expressed in terms of well-known functions such as π , Euler–Gamma, and logarithmic functions, which can be used in physics and applied sciences for numerical and theoretical analysis.

Keywords: hypergeometric series; exotic 3 F 2 (1)-series; bisection series approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/12/1915/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/12/1915/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:12:p:1915-:d:1418979

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().