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

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Title: Investigation for the pRq-hypergeometric matrix functions and associated properties.
Authors: Bajpai, Saurabh1 s.bjp.maths.123@gmail.com, Verma, Ashish1 vashish.lu@gmail.com
Source: Nonlinear Studies. 2025, Vol. 32 Issue 3, p1115-1128. 14p.
Subject Terms: *Matrix functions, *Hypergeometric functions, *Integral representations, *Calculus
Abstract: 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]
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  Data: Investigation for the <subscript>p</subscript>R<subscript>q</subscript>-hypergeometric matrix functions and associated properties.
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  Data: <searchLink fieldCode="AR" term="%22Bajpai%2C+Saurabh%22">Bajpai, Saurabh</searchLink><relatesTo>1</relatesTo><i> s.bjp.maths.123@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Verma%2C+Ashish%22">Verma, Ashish</searchLink><relatesTo>1</relatesTo><i> vashish.lu@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Nonlinear+Studies%22">Nonlinear Studies</searchLink>. 2025, Vol. 32 Issue 3, p1115-1128. 14p.
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  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 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]
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RecordInfo BibRecord:
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    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 1115
    Subjects:
      – SubjectFull: Matrix functions
        Type: general
      – SubjectFull: Hypergeometric functions
        Type: general
      – SubjectFull: Integral representations
        Type: general
      – SubjectFull: Calculus
        Type: general
    Titles:
      – TitleFull: Investigation for the pRq-hypergeometric matrix functions and associated properties.
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            NameFull: Bajpai, Saurabh
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            NameFull: Verma, Ashish
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          Dates:
            – D: 01
              M: 07
              Text: 2025
              Type: published
              Y: 2025
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              Value: 32
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              Value: 3
          Titles:
            – TitleFull: Nonlinear Studies
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