Coefficients for `decomposition???????? of functions into Laguerre-function series

Head J.W.; Oulton Gwynneth M.

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Coefficients for `decomposition???????? of functions into Laguerre-function series

机译：分解系数?????????函数集到拉盖尔函数系列

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Given a function of time which behaves arbitrarily up to a certain time and is thereafter negligible, a satisfactory 10-term Laguerre-series approximation to the function can in general be written down in terms of the values of the function (obtained by graphical interpolation if necessary) at times proportional to the 10 zeros of the Laguerre function of order 10. The way in which the approximation fails when the procedure is deliberately applied to an unsuitable function is considered.

机译：给定一个时间函数，该时间函数在特定时间之前可以任意表现，此后可以忽略不计，因此通常可以根据该函数的值来写下对该函数的满意的10项Laguerre级数逼近（通过图形插值获得）有时与10阶Laguerre函数的10个零成正比。考虑了将过程故意应用于不合适的函数时逼近失败的方式。

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《Proceedings of the IEE - Part C: Monographs》 |1958年第7期|共2页
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Head J.W.; Oulton Gwynneth M.;
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Coefficients for `decomposition???????? of functions into Laguerre-function series

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