More asymptotic expansions for the harmonic numbers
Received:May 24, 2019  Revised:December 28, 2019
Key Word: asymptotic expansions   harmonic numbers   Bell polynomials  
Fund ProjectL:
Author NameAffiliationE-mail
Hongmei Liu Dalian Minzu University liuhm7911@163.com 
Hits: 1
Download times: 
Abstract:
      In this paper, by exponential complete Bell polynomials, we establish a (general) harmonic number asymptotic expansion, and give the corresponding recurrence of the coefficient sequence in the expansion. By the methods of the generating functions and summation transformations, we also present an explicit expression for the coefficient sequence of the expansion. Moreover, we establish two (general) lacunary harmonic number asymptotic expansions, which contain only even or odd power terms in the logarithmic term.
Citation:
DOI:
  View/Add Comment  Download reader