XLV. On fractional differentials

XLV. On fractional differentials
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DOI:
10.1080/14786443808562036
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发表时间:
1938-03
期刊:
Philosophical Magazine Series 1
影响因子:
--
通讯作者:
A. Gemant
A. Gemant
中科院分区:
其他
文献类型:
--
作者:
A. Gemant

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人们可以反对我们的广义微分系统,指出,虽然ex的每个整数微分商也是e,但分数微分商有不同的值。然而,这并不是一个严重的缺点。对q阶微分,我们得到
One could object to our system of generalized differentiation in pointing out that, while each integer differential quotient of ex is again e, the fractional ones have a different value. This is, however, not a serious disadvantage. Differentiating to the qth order, we obtain