Cauchy transcendental equation

Cauchy transcendental equation

[kō·shē ¦trans‚en¦dent·əl i′kwā·zhən]
(mathematics)
An equation whose roots are characteristic values of a certain type of Sturm-Liouville problem: tan σπ = (k + K)/(σ2-kK), where k and K are given, and σ is to be determined.