Discrete orthogonal moments are powerful tools for characterizing image shape features for
applications in pattern recognition and image analysis. In this paper, a new set of discrete …

In this paper, we introduce a set of discrete orthogonal functions known as dual Hahn
polynomials. The Tchebichef and Krawtchouk polynomials are special cases of dual Hahn …

The linearization of products of wavefunctions of exactly solvable potentials often reduces to
the generalized linearization problem for hypergeometric polynomials (HPs) of a continuous …

Discrete orthogonal matrices have applications in information coding and cryptography. It is
often challenging to generate discrete orthogonal matrices. A common approach widely in …

Let us consider an arbitrary hypergeometric polynomial qj (x) and a set of orthogonal
hypergeometric polynomials∗ pn (x)∗ in the domain of orthogonality Γ. Here the expansion …

Starting from the second-order difference hypergeometric equation satisfied by the set of
discrete orthogonal polynomials∗ pn∗, we find the analytical expressions of the expansion …

We consider the problem of finding closed analytical formulas for both the linearization and
connection coefficients for hypergeometric-type polynomials, directly in terms of the …

On the linearization problem involving Pochhammer symbols and their q-analogues -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …

For 0< q< 1 define the symmetric q-linear operator acting on a suitable function f (x) by δf
(x)= f (q1/2x)− f (q− 1/2x). The q-linear initial value problem δf (x) δx= λf (x), f (0)= 1, has two …

Construction of recurrences for the coefficients of expansions in q-classical orthogonal
polynomials - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …