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On the Ramanujan Harmonic Number Expansion

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In this paper, we give a recursive relation for determining the coefficients of Ramanujan’s asymptotic expansion for the nth harmonic number, without the Bernoulli numbers and polynomials. Click to show full abstract

In this paper, we give a recursive relation for determining the coefficients of Ramanujan’s asymptotic expansion for the nth harmonic number, without the Bernoulli numbers and polynomials.

Keywords: number expansion; harmonic number; ramanujan harmonic; expansion

Journal Title: Results in Mathematics
Year Published: 2018

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