Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions

<p>In the paper, the authors</p> <p>1. establish general expressions of series expansions of $ (\arcsin x)^\ell $ for $ \ell\in\mathbb{N} $;</p> <p>2. find closed-form formulas for the sequence</p> <p class="disp_formula">$ \begin{equation...

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Bibliographic Details
Main Authors: Bai-Ni Guo, Dongkyu Lim, Feng Qi
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021438?viewType=HTML

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