# 1. Differential Equation[-]

The function  satisfies the differential equation with initial values  and .
All formulas on this page are valid under the condition that , , and  are not integers (special values for parameters can be entered at the bottom).

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

The differential equation above has 2 non-zero finite .

# 7. Parameters[-]

The Jacobi function  depends on the parameters , , and . The boxes below can be used to rename or instantiate these parameters.
p1 =  p2 =  p3 =