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JacobiEpsilon

可用

Jacobi epsilon function EllipticE[JacobiAmplitude[u m] m]; reduces to u at m=0 and Tanh[u] at m=1

JacobiEpsilon[u, m]
JacobiEpsilon[2.5, 0.5] → 1.6959808018738605Series[JacobiEpsilon[u, m], {u, 0, 7}] → SeriesData[u, 0, {Derivative[1, 0][JacobiEpsilon][0, m], Derivative[2, 0][JacobiEpsilon][0, m]/2, Derivative[3, 0][JacobiEpsilon][0, m]/6, Derivative[4, 0][JacobiEpsilon][0, m]/24, Derivative[5, 0][JacobiEpsilon][0, m]/120, Derivative[6, 0][JacobiEpsilon][0, m]/720, Derivative[7, 0][JacobiEpsilon][0, m]/5040}, 1, 8, 1]Series[JacobiEpsilon[u, m], {m, 0, 1}] → SeriesData[m, 0, {u, Derivative[0, 1][JacobiEpsilon][u, 0]}, 0, 2, 1]

主題

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