Expanding the function \(\ln(1 + \operatorname{e}^x)\) into power series in terms of the Dirichlet eta function and the Stirling numbers of the second kind
DOI10.15330/cmp.16.1.320-327zbMATH Open1548.4103MaRDI QIDQ6589510
Dongkyu Lim, Feng Qi, Wen-Hui Li
Publication date: 19 August 2024
Published in: Carpathian Mathematical Publications (Search for Journal in Brave)
Riemann zeta functionpower series expansioncomposite functionpartial Bell polynomialDirichlet eta functionStirling number of second kind
Bell and Stirling numbers (11B73) (zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
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