Reply to comment on calculation of two-center nuclear attraction integrals over integer and noninteger n-Slater-type orbitals in nonlined-up coordinate systems

摘要

The comments of Guseinov on our paper (T. Ozdogan, S. Gumus and M. Kara, J.Math. Chem., 33 (2003) 181) are critically analyzed. Contrary to his comments,it is proved that the expansion formula for the product of two normalizedassociated Legendre functions in ellipsoidal coordinates and the expressionsfor two-center nuclear attraction integrals have been obtained independently,by the use of basic mathematical rules, not by changing the summation indicesof expansion relationships contained in his articles. Therefore, our algorithmis original, is not affected from possible instability problems and can be usedin large-scale calculations without loss of significant figures. Meanwhile, itshould be mentioned that his comment on the transformation of our formulae intohis formulae proves the correctness of our algorithm and therefore can beregarded as a nice sound of science.