Fresnel Integral - Definition

Definition

The Fresnel integrals admit the following power series expansions that converge for all x:

Some authors, including Abramowitz and Stegun, (eqs 7.3.1 – 7.3.2) use for the argument of the integrals defining S(x) and C(x). To get these functions, multiply the above integrals by and multiply the argument x by .

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