Bell-shaped function

A bell shaped function is a mathematical function having a characteristic "bell"-shaped curve.

Some examples include:

• Gaussian function

$f(x)=ae^{-{\frac {(x-b)^{2}}{2c^{2}}}}$

• Generalized bell-shaped function

$f(x)={\frac {1}{1+|{\frac {x-c}{a}}|^{2b}}}$

• Hyperbolic secant
• Most of the Window functions like the Hann function
• Witch of Agnesi