Polynomial expansions for solution of wave equation in quantum calculus

  • Akram Nemri
  • Ahmed Fitouhi
Keywords: Quantum calculus, Wave polynomial, q-analysis, q-integral transform


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 ).