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

Abstract

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 normalized associated Legendre functions in ellipsoidal coordinates and the expressions for two-center nuclear attraction integrals have been obtained independently, by the use of basic mathematical rules, not by changing the summation indices of expansion relationships contained in his articles. Therefore, our algorithm is original, is not affected from possible instability problems and can be used in large-scale calculations without loss of significant figures. Meanwhile, it should be mentioned that his comment on the transformation of our formulae into his formulae proves the correctness of our algorithm and therefore can be regarded as a nice sound of science.