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A distribution formula for Kashio's $p$-adic log-gamma function | Eugenio Finat
; | Date: |
14 Feb 2017 | Abstract: | We study a special case of Kashio’s $p$-adic $logGamma$-function, that we
call ${mathrm{Log}}Gamma_{mathit{p}}$, which combines these of Morita and
Diamond. It agrees with each of these on large parts of its domain and has the
advantage of being a locally analytic function. We prove a distribution formula
for ${mathrm{Log}}Gamma_{mathit{p}}$ which generalizes and links the known
distribution formulas for Diamond’s and Morita’s functions. | Source: | arXiv, 1702.4200 | Services: | Forum | Review | PDF | Favorites |
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