Use of radial parts of complete orthonormal sets of exponential type orbitals in evaluation of self-frictional multipole transition radial matrix elements in standard convention

By the use of radial parts of complete orthonormal sets of chi((pl*))-self-frictional exponential type orbitals (psi((pl*))-SFETOs) constructed from the L-(pl*)-SF Laguerre polynomials (L-(pl*)-SFLPs) in standard convention introduced by one of the authors, a method is suggested for evaluating SF multipole transition radial (SFMTR) matrix elements of the hydrogen-like atoms in standard convention, where p(l)* = 2l + 2 - alpha* and alpha* are the integer (alpha* = alpha, -infinity < alpha <= 2) and noninteger (alpha* not equal alpha, -infinity < alpha < 3) SF quantum numbers. The effectiveness and accuracy of the proposed analytical expressions for SFMTR matrix elements are shown by calculation of concrete cases.