Abstract Quasi-Exactly Solvable Schrödinger Equations occupy an intermediate place
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …

Introduction The problem Symplectic integrators II. 3.1. First-order integrators II. 3.2. Higher-
order symplectic integrators II. 3.3. Symmetric second-order integrators Liouville equation …

A sizable literature exists on discrete quantum mechanics, that is on quantum mechanics in
discrete space–time. We refer to a recent review for motivation and for an extensive list of …

A construction of new sequences of generalized Bernoulli polynomials of first and second
kind is proposed. These sequences share with the classical Bernoulli polynomials many …

Superintegrable systems are integrable systems (classical and quantum) that have more
integrals of motion than degrees of freedom. Such systems have many interesting …

We construct explicit representations of the Heisenberg–Weyl algebra [P, M]= 1 in terms of
ladder operators acting in the space of Sheffer-type polynomials. Thus we establish a link …

The monomiality principle is based on an abstract definition of the concept of derivative and
multiplicative operators. This allows to treat different families of special polynomials as …

This article deals with the introduction of Gould-Hopper based Frobenius-Euler polynomials
and derivation of their properties. The summation formulae and operational rule for these …

In this article, the truncated exponential and Sheffer polynomials are combined to introduce
the 2-variable truncated-exponential based Sheffer polynomials (2VTESP) by using …

In this article, the 2-variable general polynomials are taken as base with Apostol type
polynomials to introduce a family of 2-variable Apostol type polynomials. These polynomials …