Asymptotic Expansions for the multiple gamma functions of Barnes-Milnor type

2019/05/25 by Kawamura, Hanamichi
#33B15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1906.00344

Abstract

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 paper, we further generalize these formulas for the multiple gamma functions of BM (Barnes-Milnor) type.

Related

• The multiple gamma functions and the multiple q-gamma functions
• The q-multiple gamma functions of Barnes-Milnor type
• The multiple gamma function and its q-analogue
• Contributions to the Theory of the Barnes Function
• The hypermultiple gamma functions of BM-type