Characterizing q -Bessel Functions of the First Kind with Their New Summation and Integral Representations

Mohammed Fadel, Nusrat Raza and Wei-Shih Du ()
Additional contact information
Mohammed Fadel: Department of Mathematics, Lahej University, Lahej 73560, Yemen
Nusrat Raza: Mathematics Section, Women’s College, Aligarh Muslim University, Aligarh 202002, India
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Mathematics, 2023, vol. 11, issue 18, 1-13

Abstract: As a powerful tool for models of quantum computing, q -calculus has drawn the attention of many researchers in the discipline of special functions. In this paper, we present new properties and characterize q -Bessel functions of the first kind using some identities of q -calculus. The results presented in this article help us to obtain new expression results related to q -special functions. New summation and integral representations for q -Bessel functions of the first kind are also established. A few examples are also provided to demonstrate the effectiveness of the proposed strategy.

Keywords: quantum calculus; Bessel function; q-shift factorial; q-Bessel function; q-hypergeometric function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/18/3831/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/18/3831/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:18:p:3831-:d:1234664

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().