Article ID Journal Published Year Pages File Type
10138866 Journal of Computational and Applied Mathematics 2019 13 Pages PDF
Abstract
In this paper, we investigate the integral of xnlogp(sin(x)) for natural numbers n and p. In doing so, we recover some well-known results and remark on some relations to the log-sine integral Lsn+p+1(n)(θ). Later, we use properties of Bell polynomials to find an expression for the derivative of the central binomial and shifted central binomial coefficients as finite sums of polygamma functions and harmonic numbers.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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