Definition:Fresnel Sine Integral Function/Also defined as

Fresnel Sine Integral Function: Also defined as

The Fresnel sine integral function can also be seen defined as:

$\ds \map {\operatorname S} x = \int_0^x \sin u^2 \rd u$

In the context of physics, the Fresnel sine integral function is most often defined as:

$\ds \map {\operatorname S} x = \int_0^x \map \sin {\dfrac {\pi u^2} 2} \rd u$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Fresnel integrals
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Fresnel integrals