Geodesic
A new combinatorial identity for Bernoulli numbers and its application in Ramanujan's expansion of harmonic numbers
Filomat, Tome 37 (2023) no. 6, p. 1733

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DOI

We establish a new combinatorial identity related to the well-known Bernoulli numbers, which generalizes the result due to Feng and Wang. By means of the identity, we find a recursive formula for successively determining the coefficients of Ramanujan's asymptotic expansion for the generalized harmonic numbers.
DOI : 10.2298/FIL2306733X
Classification : 05A19, 11B37, 11B65, 41A60
Keywords: Bernoulli number, Identity, Harmonic number, Asymptotic expansion, Recursive formula 
Conglei Xu; Dechao Li. A new combinatorial identity for Bernoulli numbers and its application in Ramanujan's expansion of harmonic numbers. Filomat, Tome 37 (2023) no. 6, p. 1733 . doi: 10.2298/FIL2306733X
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     title = {A new combinatorial identity for {Bernoulli} numbers and its application in {Ramanujan's} expansion of harmonic numbers},
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