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Investigation for the pRq-hypergeometric matrix functions and associated properties.

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Τίτλος: Investigation for the pRq-hypergeometric matrix functions and associated properties.
Συγγραφείς: Bajpai, Saurabh, Verma, Ashish
Πηγή: Nonlinear Studies; 2025, Vol. 32 Issue 3, p1115-1128, 14p
Θεματικοί όροι: Matrix functions, Hypergeometric functions, Integral representations, Calculus
Περίληψη: We investigate the matrix analogues of the pRq-beta and pRq-gamma functions, as well as their properties, in this paper. We introduce the pRq-Gauss hypergeometric matrix function (GHMF) and the pRq-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions using the pRq-beta matrix function. Finally, the pRq-Appell and pRq-Lauricella matrix functions are defined through applications of the pRq-BMF, and their integral representations are provided. [ABSTRACT FROM AUTHOR]
Copyright of Nonlinear Studies is the property of Nonlinear Studies 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.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Investigation for the <subscript>p</subscript>R<subscript>q</subscript>-hypergeometric matrix functions and associated properties.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bajpai%2C+Saurabh%22">Bajpai, Saurabh</searchLink><br /><searchLink fieldCode="AR" term="%22Verma%2C+Ashish%22">Verma, Ashish</searchLink>
– Name: TitleSource
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  Data: Nonlinear Studies; 2025, Vol. 32 Issue 3, p1115-1128, 14p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Matrix+functions%22">Matrix functions</searchLink><br /><searchLink fieldCode="DE" term="%22Hypergeometric+functions%22">Hypergeometric functions</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+representations%22">Integral representations</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus%22">Calculus</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We investigate the matrix analogues of the <subscript>p</subscript>R<subscript>q</subscript>-beta and <subscript>p</subscript>R<subscript>q</subscript>-gamma functions, as well as their properties, in this paper. We introduce the <subscript>p</subscript>R<subscript>q</subscript>-Gauss hypergeometric matrix function (GHMF) and the <subscript>p</subscript>R<subscript>q</subscript>-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions using the <subscript>p</subscript>R<subscript>q</subscript>-beta matrix function. Finally, the <subscript>p</subscript>R<subscript>q</subscript>-Appell and <subscript>p</subscript>R<subscript>q</subscript>-Lauricella matrix functions are defined through applications of the <subscript>p</subscript>R<subscript>q</subscript>-BMF, and their integral representations are provided. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Nonlinear Studies is the property of Nonlinear Studies 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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RecordInfo BibRecord:
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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 1115
    Subjects:
      – SubjectFull: Matrix functions
        Type: general
      – SubjectFull: Hypergeometric functions
        Type: general
      – SubjectFull: Integral representations
        Type: general
      – SubjectFull: Calculus
        Type: general
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      – TitleFull: Investigation for the pRq-hypergeometric matrix functions and associated properties.
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            NameFull: Bajpai, Saurabh
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              M: 07
              Text: 2025
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              Y: 2025
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