Involving algebraic functions of the direct function

Involving (a+b coth(c z))^beta

Involving ((a+b coth(c z))ⁿ)^beta

Involving (a+b coth²(c z))^beta

Involving ((a+b coth²(c z))ⁿ)^beta

Involving (a+b coth^1/2(c z))^beta