Matrix elements for a generalized spiked harmonic oscillator

Closed form expressions for the singular-potential integrals 〈m|x−α|n〉 are obtained with respect to the Gol’dman and Krivchenkov eigenfunctions for the singular potential Bx2+A/x2, B>0, A⩾0. The formulas obtained are generalizations of those found earlier by use of the odd solutions of the Schrödinger equation with the harmonic oscillator potential [Aguilera-Navarro et al., J. Math. Phys. 31, 99 (1990)].