5 papers
Iterated integrals associated with colored rooted trees
Hanamichi Kawamura
In this paper, we introduce iterated integrals associated with colored rooted trees and give proofs for the shuffle relations for -adic finite and -adic symmetri…
Multivariable connected sums and multiple polylogarithms
Hanamichi Kawamura, Takumi Maesaka, Shin-ichiro Seki
We introduce the multivariable connected sum which is a generalization of Seki-Yamamoto's connected sum and prove the fundamental identity for these sums by series manipulation. Th…
The hypermultiple gamma functions of BM-type
Hanamichi Kawamura
In this paper, we introduce the hypermultiple gamma functions of BM-type and prove the asymptotic expansion of these functions.
Asymptotic Expansions for the multiple gamma functions of Barnes-Milnor type
Hanamichi Kawamura
The classical Stirling's formula gives the asymptotic behavior of the gamma function. Katayama and Ohtsuki generalized this formula for Barnes' multiple gamma functions. In this pa…
The -multiple gamma functions of Barnes-Milnor type
Hanamichi Kawamura
The multiple gamma functions of BM (Barnes-Milnor) type and the -multiple gamma functions have been studied independently. In this paper, we introduce a new generalization of th…