We briefly review the five possible real polynomial solutions of hypergeometric differential
equations. Three of them are the well known classical orthogonal polynomials, but the other …

We study $ N $ spinless fermions in their ground state confined by an external potential in
one dimension with long range interactions of the general Calogero-Sutherland type. For …

The introductory part of the paper outlines misfortunate history of one of Routh's most
remarkable works. It points to an important distinction between infinitely many Routh …

In this paper, we search the factorizations of the shape invariant Hamiltonians with Scarf II
potential. We find two classes: one of them is the standard real factorization which leads us …

In this work, we propose more realistic models with discrete and finite number of energy
levels that could fit well to molecules with potentials that were modeled previously as …

The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new
tensor potential under spin and pseudospin symmetry limits are investigated using …

Recently Gómez-Ullate et al [1] presented the detailed classification scheme of the
equivalence relations for 'pseudo-Wronskians'(p-Ws) of Laguerre and Jacobi polynomials …

The paper examines common elements between Lévai's and Milson's potentials obtained by
Liouville transformations of two rational canonical Sturm–Liouville equations (RCSLEs) with …

The energy eigenvalues and eigenfunctions of Schrodinger equation for Modified Poschl-
Teller potential plus trigonometric Rosen-Morse non-central potential are investigated …

Thirty years ago Rudyak and Zahariev [1] came up with a breakthrough extension of the
Darboux transformation (DT) formalism [2] to the Sturm-Liouville equation (SLE) converted to …