Involving cot^-1(1+z/2(-z)^1/2)

Involving cot^-1(1+z/2(-z)^1/2) and coth^-1(z^1/2)

Involving cot^-1(1+z/2(-z)^1/2) and coth^-1(1/z^1/2)

Involving cot^-1(1+z/2(-z)^1/2) and coth^-1(1/z^1/2)