We present an asymmetric step-barrier potential for which the one-dimensional stationary Schrödinger equation is exactly solved in terms of the confluent hypergeometric functions. The potential is ...

This is a preview. Log in through your library . Abstract In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different ...

Heun functions, which generalise the well‐known hypergeometric functions, are solutions to the Heun differential equation – a second‐order linear differential equation with four regular singular ...

We derive five classes of quantum time-dependent two-state models solvable in terms of the double confluent Heun functions, five other classes solvable in terms of the biconfluent Heun functions, and ...

Bulletin mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie, Nouvelle Série, Vol. 16 (64), No. 1 (1972), pp. 93-96 (4 pages) ...

October 7, 2013. The Numerical Algorithms Group has announced the latest release of its NAG Toolbox for MATLAB to Mark 24. Over 130 new functions have been integrated into the Toolbox at Mark 24, ...