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单词 Roman Factorial
释义

Roman Factorial


(1)

The Roman factorial arises in the definition of the Harmonic Logarithm and Roman Coefficient. It obeysthe identities
(2)


(3)


(4)

where
(5)

and
(6)

See also Harmonic Logarithm, Harmonic Number, Roman Coefficient


References

Loeb, D. and Rota, G.-C. ``Formal Power Series of Logarithmic Type.'' Advances Math. 75, 1-118, 1989.

Roman, S. ``The Logarithmic Binomial Formula.'' Amer. Math. Monthly 99, 641-648, 1992.


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