We find an explicit formula for the coefficients of the generalized Maclaurin series for provided p>2 is an integer. Our method is based on an expression of the -th derivative of in the form
where \cos_p stands for the first derivative of . The formula allows us to compute the nonzero coefficients
Submitted April 24, 2017. Published July 1, 2018.
Math Subject Classifications: 34L10, 33E30, 33F05.
Key Words: p-Laplacian; p-trigonometry; approximation; analytic function coefficients of Maclaurin series.
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| Lukas Kotrla |
Department of Mathematics and NTIS
Faculty of Applied Scences, University of West Bohemia
Univerzitni 22, CZ-306 14 Plzen, Czech Republic
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