Maclaurin series for sin p with p an integer greater than 2

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dc.contributor.authorKotrla, Lukas
dc.date.accessioned2022-02-16T16:32:27Z
dc.date.available2022-02-16T16:32:27Z
dc.date.issued2018-07-01
dc.description.abstractWe 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)!
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKotrla, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15335
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectp-Laplacian
dc.subjectp-Trigonometry
dc.subjectApproximation
dc.subjectAnalytic function coefficients of Maclaurin series
dc.titleMaclaurin series for sin p with p an integer greater than 2
dc.typeArticle

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