On the Ramanujan Harmonic Number Expansion

  • Chao-Ping ChenEmail author


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.


Harmonic number Euler–Mascheroni constant asymptotic expansion 

Mathematics Subject Classification

Primary 41A60 Secondary 40A05 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.School of Mathematics and InformaticsHenan Polytechnic UniversityJiaozuo CityChina

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