In mathematics, the Ince equation, named for Edward Lindsay Ince, is the differential equation

When p is a non-negative integer, it has polynomial solutions called Ince polynomials. In particular, when , then it has a closed-form solution[1]

where is a constant.

See also

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References

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  1. ^ Cheung, Tsz Yung. "Liouvillian solutions of Whittaker-Ince equation". Journal of Symbolic Computation. 115 (March-April 2023): 18–38. doi:10.1016/j.jsc.2022.07.002.