Integral Representations of the Catalan Numbers and Their Applications

Feng Qi and Bai-Ni Guo
Additional contact information
Feng Qi: Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan Province, China
Bai-Ni Guo: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan Province, China

Mathematics, 2017, vol. 5, issue 3, 1-31

Abstract: In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations, collect applications of some integral representations, and present sums of several power series whose coefficients involve the Catalan numbers.

Keywords: Catalan number; integral representation; equivalent relation; application; sum of power series; Catalan–Qi function; Catalan–Qi number; beta function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://www.mdpi.com/2227-7390/5/3/40/pdf (application/pdf)
https://www.mdpi.com/2227-7390/5/3/40/ (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:5:y:2017:i:3:p:40-:d:106754

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 ().