28 research outputs found
On q
Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some
convergent q-series
Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets
Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet
transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using
the q-Riemann-Liouville and the q-Weyl transforms, we give some relations
between the continuous q-wavelet transform, studied in [3], and the continuous
q-wavelet transform associated with the q-Bessel operator, and we
deduce formulas which give the inverse operators of the q-Riemann-Liouville
and the q-Weyl transforms
Polynomial expansions for solution of wave equation in quantum calculus
In this paper, using the q^2 -Laplace transform early introduced by Abdi [1], we study q-Wave polynomials related with the q-difference operator ∆q,x . We show in particular that they are linked to the q-little Jacobi polynomials p_n (x; α, β | q^2 )