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math.GM2021★ 17 cited
Several combinatorial identities derived from series expansions of powers of arcsine
Feng Qi, Chao-Ping Chen, Dongkyu Lim
In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing t…
math.CO2021★ 24 cited
Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications
Bai-Ni Guo, Dongkyu Lim, Feng Qi
In the paper, the authors establish Maclaurin's series expansions and series identities for positive integer powers of the inverse sine function, for positive integer powers of the…