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METHOD FOR HIGHLY ACCURATELY CALCULATING INFINITE SERIES USING RECURRENT FORMULA
METHOD FOR HIGHLY ACCURATELY CALCULATING INFINITE SERIES USING RECURRENT FORMULA
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机译：用递归公式高精度计算无限级数的方法
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摘要
PURPOSE:To make approximate calculation of infinite series, etc., higher in accuracy by making the approximate calculation by using each recurrent formula of Bessel function, Modified Bessel function, etc., and infinite series formulae which can become normalization constants. CONSTITUTION:When infinite series formulae which can become appropriate normalization constants are selected and recurrent formulae are used against the approximate calculation of infinite series including Bessel function and Modified Bessel function to be calculated, highly accurate calculation can be performed on a wide variable range by one calculation formula only. Namely, the approximate calculation of arbitrary infinite series, etc., is performed by using each recurrent formula of the Bessel function, Modified Bessel function, etc., and the infinite series formulae of the Bessel function, Modified Bessel function, etc., which can become normalization constants. When such functional formulae which are developed to infinite series including the Bessel function and Modified Bessel function, recurrent formulae, and formulae of normalization constants are used, highly accurate calculation can be realized.
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