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

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...

Full description

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:
general expression
closed-form formula
arcsine
series expansion
power
special value
second kind bell polynomials
series representation
generalized logsine function
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021438?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2021438?viewType=HTML

Similar Items