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**publisher and metadata sources**).Abstract For 0 q 1 define the symmetric q-linear operator acting on a suitable function f ( x ) by δ f ( x ) = f ( q 1 / 2 x ) − f ( q − 1 / 2 x ) . The q-linear initial value problem δ f ( x ) δ x =… Continue Reading

We present a general procedure for finding linear recurrence relations for the solutions of the second order difference equation of hypergeometric type. Applications to wave functions of certain… Continue Reading

We present a general procedure for finding recurrence relations of the radial wavefunctions for Nth-dimensional isotropic harmonic oscillators and hydrogenlike atoms.

A q-type Hölder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series Sq[f] to the function itself, on the set of points of the… Continue Reading

Let $$\,I\subseteq {\mathbb {R}}\,$$ be an interval and $$\,\beta :\,I\rightarrow \,I\,$$ a strictly increasing and continuous function with a unique fixed point $$\,s_0\in I\,$$ that satisfies… Continue Reading

We define q-analogues of Fourier-Bessel series, by means of complete q- orthogonal systems constructed with the third Jackson q-Bessel function. Sufficient conditions for pointwise convergence of… Continue Reading

Using the method described in [11], we present some new ladder type operators and recurrence relations for the radial wave functions of the N-th dimensional isotropic harmonic oscillators and the… Continue Reading

The functions of hypergeometric type are the solutions y = y�(z) of the differential equation �(z)y '' +�(z)y ' +�y = 0, whereandare polynomials of degrees not higher than 2 and 1, respectively,… Continue Reading

Abstract A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding quantum… Continue Reading

In this work, we present the analytical solution of the effective mass Pauli equation, with Rashba and linear Dresselhaus interactions, for an electron gas moving through a semiconductor quantum dot… Continue Reading