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POLYNOMIALS EXPANSIONS FOR SOLUTION OF WAVE BESSEL EQUATION IN QUANTUM CALCULUS
Journal article   Peer reviewed

POLYNOMIALS EXPANSIONS FOR SOLUTION OF WAVE BESSEL EQUATION IN QUANTUM CALCULUS

Akram Nemri, Ahmed Fitouhi and Nemri Akram
Infinite dimensional analysis, quantum probability, and related topics, Vol.14(2), pp.345-359
06/2011
DOI: https://doi.org/10.1142/S0219025711004377

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Quantum Science & Technology Science & Technology Statistics & Probability
In this paper, using the q(2)-Laplace transform early introduced by Abdi,(1) we study q-wave Bessel polynomials related with the q-Bessel operator Delta(q,alpha). We show in particular that they are linked to the q-little Jacobi polynomials p(n)(x; alpha, beta|q(2)).

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