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On the matrix version of new extended Gauss, Appell and Lauricella hypergeometric functions.

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Τίτλος: On the matrix version of new extended Gauss, Appell and Lauricella hypergeometric functions.
Συγγραφείς: Bajpai, Saurabh1 s.bjp.maths.123@gmail.com, Dwivedi, Ravi2 dwivedir999@gmail.com, Verma, Ashish1 vashish.lu@gmail.com
Πηγή: Nonlinear Studies. 2025, Vol. 32 Issue 4, p1517-1531. 15p.
Θεματικοί όροι: *Matrix functions, *Hypergeometric functions, *Integral representations, *Gamma functions, *Gaussian function, *Beta functions
Περίληψη: Inspired by certain interesting recent extension of the gamma, beta and hypergeometric matrix functions, we introduce here new extension of the gamma and beta matrix function. We also introduce new extensions of the Gauss hypergeometric matrix function, confluent hypergeometric matrix function, Appell matrix function and Lauricella matrix function of three variables in terms of the new extended beta matrix function. Then we investigate certain properties of these new extended matrix functions such as the integral representations, differential formulae and recurrence relations. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  Label: Title
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  Data: On the matrix version of new extended Gauss, Appell and Lauricella hypergeometric functions.
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  Label: Authors
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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="%22Dwivedi%2C+Ravi%22">Dwivedi, Ravi</searchLink><relatesTo>2</relatesTo><i> dwivedir999@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 4, p1517-1531. 15p.
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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="%22Gamma+functions%22">Gamma functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Gaussian+function%22">Gaussian function</searchLink><br />*<searchLink fieldCode="DE" term="%22Beta+functions%22">Beta functions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Inspired by certain interesting recent extension of the gamma, beta and hypergeometric matrix functions, we introduce here new extension of the gamma and beta matrix function. We also introduce new extensions of the Gauss hypergeometric matrix function, confluent hypergeometric matrix function, Appell matrix function and Lauricella matrix function of three variables in terms of the new extended beta matrix function. Then we investigate certain properties of these new extended matrix functions such as the integral representations, differential formulae and recurrence relations. [ABSTRACT FROM AUTHOR]
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        Text: English
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        PageCount: 15
        StartPage: 1517
    Subjects:
      – SubjectFull: Matrix functions
        Type: general
      – SubjectFull: Hypergeometric functions
        Type: general
      – SubjectFull: Integral representations
        Type: general
      – SubjectFull: Gamma functions
        Type: general
      – SubjectFull: Gaussian function
        Type: general
      – SubjectFull: Beta functions
        Type: general
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      – TitleFull: On the matrix version of new extended Gauss, Appell and Lauricella hypergeometric functions.
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            NameFull: Bajpai, Saurabh
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            NameFull: Dwivedi, Ravi
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            – D: 01
              M: 10
              Text: 2025
              Type: published
              Y: 2025
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            – TitleFull: Nonlinear Studies
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