Reply to the comment on the transcendental method

Abstract

For comment see Miranovic, ibid., vol.28, p.4189 (1995) Using an unconventional mathematical approach and analysis of the precision of solution by a new formula for the representation of number in the transcendental method, we indicate that the objection given in the comment most probably shows a lack of understanding and misapprehension. Undoubtedly, the transcendental equation of the neutron slowing down (Perovich 1992) has an analytical closed-form solution. This solution is exact according to the new closed-form representation of numbers with the desired accuracy. The numerical results, obtained for different magnitudes of the transcendental parameter B(u), support the validity and basic principles of the transcendental method.