70 citations · 150 across the 9 of their papers we have counts for
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math-ph2004★ 4 cited
Explicit representations of Pollaczek polynomials corresponding to an exactly solvable discretisation of hydrogen radial Schrödinger equation
M. Aunola
We consider an exactly solvable discretisation of the radial Schrödinger equation of the hydrogen atom with l=0. We first examine direct solutions of the finite difference equation…
math-ph2003
Exact, explicit and entire solutions to a nontrivial finite-difference equation and their applications
M. Aunola
Below, the explicit solution to a certain finite-difference equation is given and the required steps for derivation of these results are outlined. Everything is included as Mathema…
math-ph2002★ 18 cited
The discretised harmonic oscillator: Mathieu functions and a new class of generalised Hermite polynomials
M. Aunola
We present a general, asymptotical solution for the discretised harmonic oscillator. The corresponding Schrödinger equation is canonically conjugate to the Mathieu differential equ…