Kotrla, Lukas2022-02-162022-02-162018-07-01Kotrla, L. (2018). Maclaurin series for sin p with p an integer greater than 2. <i>Electronic Journal of Differential Equations, 2018</i>(135), pp. 1-11.1072-6691https://hdl.handle.net/10877/15335We find an explicit formula for the coefficients of the generalized Maclaurin series for sin p provided p > 2 is an integer. Our method is based on an expression of the n-th derivative of sin p in the form ∑2n-2-1k=0 αk,n sin p-1 p(x) cos2-pp(x), x ∈ (0, πp/2), where cos p stands for the first derivative of sin p. The formula allows us to compute the nonzero coefficients. α n = lim x→0+ sin(np+1)p(x)/(np + 1)!Text11 pages1 file (.pdf)enAttribution 4.0 Internationalp-Laplacianp-TrigonometryApproximationAnalytic function coefficients of Maclaurin seriesArticle