Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 2
- /
- Pages.289-294
- /
- 1996
- /
- 1015-8634(pISSN)
- /
- 2234-3016(eISSN)
A duplication formula for the double gamma function $Gamma_2$
- Park, Junesang (Department of Mathematics, Dongguk University, Kyongju 780-714)
- Published : 1996.05.01
Abstract
The double Gamma function had been defined and studied by Barnes [4], [5], [6] and others in about 1900, not appearing in the tables of the most well-known special functions, cited in the exercise by Whittaker and Waston [25, pp. 264]. Recently this function has been revived according to the study of determinants of Laplacians [8], [11], [15], [16], [19], [20], [22] and [24]. Shintani [21] also uses this function to prove the classical Kronecker limit formula. Its p-adic analytic extension appeared in a formula of Casson Nogues [7] for the p-adic L-functions at the point 0.