Hankel Transform in Quantum Calculus and Applications

Haddad, Meniar

Fractional Calculus and Applied Analysis (2006)

  • Volume: 9, Issue: 4, page 371-384
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 44A15, 33D15, 81Q99This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.

How to cite

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Haddad, Meniar. "Hankel Transform in Quantum Calculus and Applications." Fractional Calculus and Applied Analysis 9.4 (2006): 371-384. <http://eudml.org/doc/11290>.

@article{Haddad2006,
abstract = {Mathematics Subject Classification: 44A15, 33D15, 81Q99This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.},
author = {Haddad, Meniar},
journal = {Fractional Calculus and Applied Analysis},
keywords = {44A15; 33D15; 81Q99},
language = {eng},
number = {4},
pages = {371-384},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Hankel Transform in Quantum Calculus and Applications},
url = {http://eudml.org/doc/11290},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Haddad, Meniar
TI - Hankel Transform in Quantum Calculus and Applications
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 4
SP - 371
EP - 384
AB - Mathematics Subject Classification: 44A15, 33D15, 81Q99This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.
LA - eng
KW - 44A15; 33D15; 81Q99
UR - http://eudml.org/doc/11290
ER -

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