Difference between revisions of "Taylor series for Fresnel C"
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(Created page with "==Theorem== The following formula holds: $$C(x) = \displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k x^{4k+1}}{(2k)!(4k+1)},$$ where $C$ denotes Fresnel C and $(2k)!$ denotes...") |
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Latest revision as of 17:25, 5 October 2016
Theorem
The following formula holds: $$C(x) = \displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k x^{4k+1}}{(2k)!(4k+1)},$$ where $C$ denotes Fresnel C and $(2k)!$ denotes factorial.
