Difference between revisions of "Taylor series for Fresnel S"
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(Created page with "==Theorem== The following Taylor series holds: $$S(x)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k x^{4k+3}}{(2k+1)!(4k+3)},$$ where $S$ denotes Fresnel S and $(2k+1...") |
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Latest revision as of 17:14, 5 October 2016
Theorem
The following Taylor series holds: $$S(x)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k x^{4k+3}}{(2k+1)!(4k+3)},$$ where $S$ denotes Fresnel S and $(2k+1)!$ denotes the factorial.
