FresnelS

Evaluate for complex arguments:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Simple exact values are generated automatically:

Parity transformation is automatically applied:

FresnelS threads element-wise over lists:

TraditionalForm formatting:

FresnelS can be applied to power series:

Find series expansions at infinity:

Give the result for an arbitrary symbolic direction :

Intensity of a wave diffracted by a half-plane:

Plot a Cornu spiral:

A solution of the time-dependent 1D Schrödinger equation for a sudden opening of a shutter:

Check the Schrödinger equation:

Plot the time-dependent solution:

Plot of FresnelS along a circle in the complex plane:

Use FullSimplify to simplify expressions containing Fresnel integrals:

Find a numerical root:

Obtain FresnelS from integrals and sums:

Solve a differential equation:

Calculate the Wronskian:

Compare with Wronskian:

Integrals:

Integral transforms:

FresnelS can take large values for moderate-size arguments:

Nested integrals: