Wright Omega function
One of the main applications of this function is in the resolution of the equation z = ln(z), as the only solution is given by z = e−ω(π i).
The Wright omega function satisfies the relation .
It also satisfies the differential equation
Its Taylor series around the point takes the form :
is a second-order Eulerian number.
- Not to be confused with the Fox–Wright function, also known as Wright function.