# 1. Differential Equation[-]

The function $${{\textbf E}_{n}\left(x\right)}$$ satisfies the differential equation$$\displaystyle {x}^{2}{\frac {d^{4}}{d{x}^{4}}}y \left( x \right) +5\,x{\frac {d^{3}}{d{x}^{3}}}y \left( x \right) + \left( -{n}^{2}+{x}^{2}+4 \right) {\frac {d^{2}}{d{x}^{2}}}y \left( x \right) +4\,x{\frac {d}{dx}}y \left( x \right) +2\,y \left( x \right) = 0.$$
All formulas on this page are valid under the condition that $$2\,n$$ is not an integer (special values for parameters can be entered at the bottom).

# 4. Local Expansions at Singularities and at Infinity[-]

The differential equation above has 0 non-zero finite .

# 6. Parameters[-]

The Weber function $${{\textbf E}_{n}\left(x\right)}$$ depends on the parameter $$n$$. The box below can be used to rename or instantiate this parameter.
p1 =