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math.NT2019
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.
math.NT2019
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…
math.NT2019
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…