Using an unconventional mathematical approach and analysis of the prec
ision of solution by a new formula for the representation of number in
the transcendental method, we indicate that the objection given in th
e comment most probably shows a lack of understanding and misapprehens
ion. Undoubtedly, the transcendental equation of the neutron slowing d
own has an analytical closed-form solution. This solution is exact acc
ording to the new closed-form representation of numbers with the desir
ed accuracy. The numerical results, obtained for different magnitudes
of the transcendental parameter B(u), support the validity and basic p
rinciples of the transcendental method.