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Some Definite Integral Involving Bessel Function of the First Kind in Terms of Hypergeometric Functions.

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Title: Some Definite Integral Involving Bessel Function of the First Kind in Terms of Hypergeometric Functions.
Authors: Salahuddin1 vsludn@gmail.com
Source: IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2904-2908. 5p.
Subjects: Bessel functions, Hypergeometric functions, Definite integrals, Special functions, Mathematical analysis
Abstract: This paper establishes new closed-form expressions in terms of generalized hypergeometric functions for definite integrals involving first-kind Bessel functions. These analytical formulas are new developments in the theory of special functions and the analytic evaluation of definite integrals. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 195026921
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Some Definite Integral Involving Bessel Function of the First Kind in Terms of Hypergeometric Functions.
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  Data: <searchLink fieldCode="AR" term="%22Salahuddin%22">Salahuddin</searchLink><relatesTo>1</relatesTo><i> vsludn@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jul2026, Vol. 56 Issue 7, p2904-2908. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Bessel+functions%22">Bessel functions</searchLink><br /><searchLink fieldCode="DE" term="%22Hypergeometric+functions%22">Hypergeometric functions</searchLink><br /><searchLink fieldCode="DE" term="%22Definite+integrals%22">Definite integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Special+functions%22">Special functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink>
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  Data: This paper establishes new closed-form expressions in terms of generalized hypergeometric functions for definite integrals involving first-kind Bessel functions. These analytical formulas are new developments in the theory of special functions and the analytic evaluation of definite integrals. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 5
        StartPage: 2904
    Subjects:
      – SubjectFull: Bessel functions
        Type: general
      – SubjectFull: Hypergeometric functions
        Type: general
      – SubjectFull: Definite integrals
        Type: general
      – SubjectFull: Special functions
        Type: general
      – SubjectFull: Mathematical analysis
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      – TitleFull: Some Definite Integral Involving Bessel Function of the First Kind in Terms of Hypergeometric Functions.
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            – D: 01
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
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