Identities for Catalan’s Constant Arising from Integrals Depending on a Parameter  

作　　者：Feclerica FERRETTI Alessandro GAMBINI Daniele R.ITELLI 

机构地区：[1]Free University of Bozen,Bressanone Campus,Viale Ratisbona 16,39042 Bressanone(BZ) [2]Sapienza Universiti di Roma,Dipartirento di Matcatica"G.Castelruovo",Piazzale Aldo Moro 5,00185 Roma [3]Urieersita di Bologna,Dipartimento di Scienze Statistiche,Via delle Bele Arti 41,40126 Bologna

出　　处：《Acta Mathematica Sinica,English Series》2020年第10期1083-1093,共11页数学学报（英文版）

基　　金：Supported by a RFO 2015-2016(Panel 13)。

摘　　要：In this paper we provide some relationships between Catalan’s constant and the 3F2 and4F3 hypergeometric functions,deriving them from some parametric integrals.In particular,using the complete elliptic integral of the first kind,we found an alternative proof of a result of Ramanujan for3F2,a second identity related to 4F3 and using the complete elliptic integral of the second kind we obtain an identity by Adamchik.

关 键 词：Catalan constant elliptic integral hypergeometric functions 

分 类 号：O172.2[理学—数学]