Polynomial expansions for solution of wave equation in quantum calculus

Polynomial expansions for solution of wave equation in quantum calculus

In this paper, using the <em>q^2</em> -Laplace transform early introduced by Abdi [1], we study <em>q</em>-Wave polynomials related with the q-difference operator <em>∆q,x</em> . We show in particular that they are linked to the q-little Jacobi polynomials <em&...

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Main Authors: Akram Nemri, Ahmed Fitouhi
Format: Article
Language:English
Published: Università degli Studi di Catania 2010-12-01
Series:Le Matematiche
Subjects:
Quantum calculus
Wave polynomial
q-analysis
q-integral transform
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/802
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spelling doaj-5125e1eb2960444b8a046bcfefded0bd2020-11-25T03:32:27ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982010-12-016517382732Polynomial expansions for solution of wave equation in quantum calculusAkram NemriAhmed FitouhiIn this paper, using the <em>q^2</em> -Laplace transform early introduced by Abdi [1], we study <em>q</em>-Wave polynomials related with the q-difference operator <em>∆q,x</em> . We show in particular that they are linked to the q-little Jacobi polynomials <em>p_n (x; &alpha;, &beta; | q^2 )</em>.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/802Quantum calculusWave polynomialq-analysisq-integral transform
collection DOAJ
language English
format Article
sources DOAJ
author Akram Nemri
Ahmed Fitouhi
spellingShingle Akram Nemri
Ahmed Fitouhi
Polynomial expansions for solution of wave equation in quantum calculus
Le Matematiche
Quantum calculus
Wave polynomial
q-analysis
q-integral transform
author_facet Akram Nemri
Ahmed Fitouhi
author_sort Akram Nemri
title Polynomial expansions for solution of wave equation in quantum calculus
title_short Polynomial expansions for solution of wave equation in quantum calculus
title_full Polynomial expansions for solution of wave equation in quantum calculus
title_fullStr Polynomial expansions for solution of wave equation in quantum calculus
title_full_unstemmed Polynomial expansions for solution of wave equation in quantum calculus
title_sort polynomial expansions for solution of wave equation in quantum calculus
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2010-12-01
description In this paper, using the <em>q^2</em> -Laplace transform early introduced by Abdi [1], we study <em>q</em>-Wave polynomials related with the q-difference operator <em>∆q,x</em> . We show in particular that they are linked to the q-little Jacobi polynomials <em>p_n (x; &alpha;, &beta; | q^2 )</em>.<br />
topic Quantum calculus
Wave polynomial
q-analysis
q-integral transform
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/802
work_keys_str_mv AT akramnemri polynomialexpansionsforsolutionofwaveequationinquantumcalculus
AT ahmedfitouhi polynomialexpansionsforsolutionofwaveequationinquantumcalculus
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