Fourier Series Expansions of Powers of the Trigonometric Sine and Cosine Functions
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 5
Abstract
In this paper, Fourier series expansions of powers of sine and cosine functions are established for any possible power real or complex or positive integer. Recurrence relations are established to facilities the computations of the coefficients of expansions formulae. Numerical applications for real and complex powers are also included , the accuracy of the computed values are at least of order . While the applications for positive integer powers are given as exact analytical expressions.
Authors and Affiliations
Maha Saeed Algorabi, M. A Sharaf
Keywords
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- EP ID EP651762
- DOI 10.24297/jam.v12i5.246
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