| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 28.26.E3 | \phi = 2h\sinh@@{z}-\left(m+\tfrac{1}{2}\right)\atan@{\sinh@@{z}} |
|
phi = 2*h*sinh(z)-(m +(1)/(2))*arctan(sinh(z))
|
\[Phi] == 2*h*Sinh[z]-(m +Divide[1,2])*ArcTan[Sinh[z]]
|
Failure | Failure | Failed [300 / 300] Result: 1.309060595-.9846819085*I
Test Values: {h = 1/2*3^(1/2)+1/2*I, phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, m = 1}
Result: 2.148731429-.6275515075*I
Test Values: {h = 1/2*3^(1/2)+1/2*I, phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, m = 2}
... skip entries to safe data |
Failed [300 / 300]
Result: Complex[1.3090605953108105, -0.9846819068983852]
Test Values: {Rule[h, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[m, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Complex[2.1487314296378672, -0.6275515058300114]
Test Values: {Rule[h, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[m, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
... skip entries to safe data |