Formulas are obtained for approximating the tabulated Bessel functions J_n(x), n=0-9 in terms of trigonometric functions. These formulas can be easily integrated and differentiated and are convenient for personal computers and pocket calculators.
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Chan, L. Y. (1978). Some approximation theorems for asymptotic functions [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200005265