# Hankel Transform in Quantum Calculus and Applications

Fractional Calculus and Applied Analysis (2006)

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

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topHaddad, 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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