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Research Article

On the incomplete Srivastava’s triple hypergeometric matrix functions

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Pages 881-904 | Received 20 Aug 2019, Published online: 01 May 2020

References

  • M. Abdalla, On the incomplete hypergeometric matrix functions, Ramanujan J. 43 (2017), 663–678.
  • M. Abdalla, Special matrix functions: characteristics, achievements and future directions, Linear Multilinear Algebra 68 (2020), 1–28.
  • A. Bakhet, Y. Jiao, and F. He, On the Wright hypergeometric matrix functions and their fractional calculus, Integral Transforms Spec. Funct. 30 (2019), 138–156.
  • A. Cetinkaya, The incomplete second Appell hypergeometric functions, Appl. Math. Comput. 219 (2013), 8332–8337.
  • M.A. Chaudhry and S.M. Zubair, Extended Incomplete Gamma Functions with Applications, J. Math. Anal. Appl. 274 (2002), 725–745.
  • J. Choi, R.K. Parmar, and P. Chopra, The Incomplete Lauricella and First Appell Functions and Associated Properties, Honam Math. J. 36 (2014), 531–542.
  • J. Choi, R.K. Parmar, and P. Chopra, The incomplete Srivastava’s triple hypergeometrics γH and ΓH , B B Filomat 30 (2016), 1779–1787.
  • J. Choi, R.K. Parmar, and P. Chopra, The incomplete Srivastava’s triple hypergeometrics γH and ΓH , A A Miskolc Mathematical Notes 19 (2018), 191–200.
  • E. Defez and L. Jódar, Chebyshev matrix polynomails and second order matrix differential equations. Utilitas Math. 61 (2002), 107–123.
  • E. Defez, L. Jódar, and A. Law, Jacobi matrix differential equation, polynomial solutions, and their properties. Comput Math Appl. 48 (2004), 789–803.
  • A.J. Duran and W. Van Assche, Orthogonal matrix polynomials and higher order recurrence relations. Linear Algebra Appl. 219 (1995), 261–280.
  • R. Dwivedi and V. Sahai, On the hypergeometric matrix functions of several variables, J. Math. Phys. 59 (2018), 023505, 15pp.
  • J.S. Geronimo, Scattering theory and matrix orthogonal polynomials on the real line, Circuits Syst Signal Process. 1 (1982), 471–495.
  • G.H. Golud and C.F. Van Loan, Matrix computations, The Johns Hopkins Press Ltd., London, 1996.
  • L. Jódar, R. Company, and E. Navarro, Laguerre matrix polynomials and systems of second order differential equations, Appl. Numer. Math. 15 (1994), 53–63.
  • L. Jódar, R. Company, and E. Navarro, Bessel matrix functions: explicit solution of coupled Bessel type equations, Util. Math. 46 (1994), 129–141.
  • L. Jódar and J.C. Cortés, On the hypergeometric matrix function, J. Comput. Appl. Math. 99 (1998), 205–217.
  • L. Jódar and J.C. Cortés, Some properties of gamma and beta matrix functions, Appl. Math. Lett. 11 (1998), 89–93.
  • L. Jódar and J. Sastre, On the Laguerre matrix polynomials, Util. Math. 53 (1998), 37–48.
  • Z.M. Kishka, A. Shehata, and M. Abul-Dahab, A new extension of hypergeometric matrix functions, Adv. Appl. Math. Sci. 10 (2011), 349–371.
  • S.Z. Rida, M. Abul-Dahab, and M.A. Saleem, On Humbert matrix function Ψ1(A, B; C, C′; z, w) of two complex variables under differential operator, Int. J Ind Math. 32 (2010), 167–179.
  • J. Sastre and L. Jódar, Asymptotics of the modified Bessel and incomplete gamma matrix functions, Appl. Math. Lett. 16 (2003), 815–820.
  • V. Sahai and A. Verma, Generalized Incomplete Pochhammer Symbols and Their Applications to Hypergeometric Functions, Kyungpook Math. J. 58 (2018), 67–79.
  • H.M. Srivastava, Hypergeometric functions of three variables, Ganita 15 (1964), 97–108.
  • H.M. Srivastava, Some integrals representing triple hypergeometric functions, Rend. Circ. Mat. Palermo 16 (1967), 99–115.
  • H.M. Srivastava, M.A. Chaudhary, and R.P. Agarwal, The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659–683.
  • H.M. Srivastava and P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Ellis Horwood Series: Mathematics and its Applications, Ellis Horwood Ltd., Chichester; Halsted Press (John Wiley & Sons, Inc.), New York, 1985.
  • H.M. Srivastava and H.L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York/ Chichester/Brisbane/Toronto, 1984.
  • H.M. Srivastava, R.K. Saxena, and R.K. Parmar, Some Families of the Incomplete H-Functions and the Incomplete H̅-Functions and Associated Integral Transforms and Operators of Fractional Calculus with Applications, Russ. J. Math. Phys. 25 (2018), 116–138.
  • R. Srivastava, Some Properties of a Family of Incomplete Hypergeometric Functions, Russian J. Math. Phys. 20 (2013), 121–128.
  • R. Srivastava and N.E. Cho, Generating Functions for a Certain Class of Incomplete Hypergeometric Polynomials, Appl. Math. Comput. 219 (2012), 3219–3225.
  • A. Verma, On the incomplete first Appell hypergeometric matrix functions γ1 and Γ1, Ramanujan J. (2019), submitted.
  • A. Verma, On the incomplete fourth Appell hypergeometric matrix functions γ4 and Γ4, Asian-Eur. J. Math. (2019), submitted.
  • A. Verma and S. Yadav, On the incomplete second Appell hypergeometric matrix functions, Linear Multilinear Algebra, (2019), DOI:https://doi.org/10.1080/03081087.2019.1640178.

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