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AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS.

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Title: AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS.
Authors: JAIN, SHILPI1 shilpijain1310@gmail.com, BATIHA, IQBAL M.2 i.batiha@zuj.edu.jo, BALEANU, DUMITRU3 dumitru.baleanu@lau.edu.lb, AGARWAL, PRAVEEN4,5 goyal.praveen2011@gmail.com
Source: Journal of Inequalities & Special Functions. 2025, Vol. 16 Issue 2, p1-25. 25p.
Subject Terms: *Hypergeometric functions, *Matrix functions, *Identities (Mathematics), *Mathematical functions, *Mellin transform, *Derivatives (Mathematics), *Functional equations
Abstract: The main objective of the present paper is to investigate a generalization of (k)-H.M.F. using (k)-M.L.F. with two parameters. Many identities of these extensions are studied, such as derivative formulas, generating relations, symmetric relations, functional relations, summation formulas, integral representations, Mellin transform, and generalizing these identities that satisfy (k)-G.H.M.F. and (k)-C.H.M.F. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
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DbLabel: Academic Search Index
An: 187182992
RelevancyScore: 1354
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PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1353.70324707031
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS.
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  Data: <searchLink fieldCode="AR" term="%22JAIN%2C+SHILPI%22">JAIN, SHILPI</searchLink><relatesTo>1</relatesTo><i> shilpijain1310@gmail.com</i><br /><searchLink fieldCode="AR" term="%22BATIHA%2C+IQBAL+M%2E%22">BATIHA, IQBAL M.</searchLink><relatesTo>2</relatesTo><i> i.batiha@zuj.edu.jo</i><br /><searchLink fieldCode="AR" term="%22BALEANU%2C+DUMITRU%22">BALEANU, DUMITRU</searchLink><relatesTo>3</relatesTo><i> dumitru.baleanu@lau.edu.lb</i><br /><searchLink fieldCode="AR" term="%22AGARWAL%2C+PRAVEEN%22">AGARWAL, PRAVEEN</searchLink><relatesTo>4,5</relatesTo><i> goyal.praveen2011@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Inequalities+%26+Special+Functions%22">Journal of Inequalities & Special Functions</searchLink>. 2025, Vol. 16 Issue 2, p1-25. 25p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Hypergeometric+functions%22">Hypergeometric functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Matrix+functions%22">Matrix functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Identities+%28Mathematics%29%22">Identities (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Mellin+transform%22">Mellin transform</searchLink><br />*<searchLink fieldCode="DE" term="%22Derivatives+%28Mathematics%29%22">Derivatives (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Functional+equations%22">Functional equations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The main objective of the present paper is to investigate a generalization of (k)-H.M.F. using (k)-M.L.F. with two parameters. Many identities of these extensions are studied, such as derivative formulas, generating relations, symmetric relations, functional relations, summation formulas, integral representations, Mellin transform, and generalizing these identities that satisfy (k)-G.H.M.F. and (k)-C.H.M.F. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=187182992
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.54379/jiasf-2025-2-1
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 25
        StartPage: 1
    Subjects:
      – SubjectFull: Hypergeometric functions
        Type: general
      – SubjectFull: Matrix functions
        Type: general
      – SubjectFull: Identities (Mathematics)
        Type: general
      – SubjectFull: Mathematical functions
        Type: general
      – SubjectFull: Mellin transform
        Type: general
      – SubjectFull: Derivatives (Mathematics)
        Type: general
      – SubjectFull: Functional equations
        Type: general
    Titles:
      – TitleFull: AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS.
        Type: main
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          Name:
            NameFull: JAIN, SHILPI
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            NameFull: BATIHA, IQBAL M.
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            NameFull: BALEANU, DUMITRU
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            NameFull: AGARWAL, PRAVEEN
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          Dates:
            – D: 01
              M: 04
              Text: 2025
              Type: published
              Y: 2025
          Identifiers:
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              Value: 22174303
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              Value: 16
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              Value: 2
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            – TitleFull: Journal of Inequalities & Special Functions
              Type: main
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