code: def derivk_inverse(self, k, phi, theta):
      thi = 1 / theta  # shorthand
      d4 = (
          (-1) ** k
          * gamma(k + thi)
          / gamma(thi)
          * (1 + phi) ** (-(k + thi))
      )
      return d4
  
imports: import warnings
  import numpy
  from scipy.special import expm1, gamma
label_desc: Use image node_id 10 for calling the TransfClayton obj's underlying member method code with example usage: obj.derivk_inverse(k, phi, theta) and returns: d4