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Double convolution integral equations involving a general class of multivariable polynomials and the multivariableH-functions

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Abstract

In this paper we have solved a double convolution integral equation whose kernel involves the product of theH-functions of several variables and a general class of multivariable polynomials. Due to general nature of the kernel, we can obtain from it, solutions of a large number of double and single convolution integral equations involving products of several classical orthogonal polynomials and simpler functions. We have also obtained here solutions of two double convolution integral equations as special cases of our main result. Exact reference of three known results, which are obtainable as particular cases of one of these special cases, have also been included.

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References

  1. Ditkin V A and Prudnikov A P,Operational calculus in two variables and its applications (1962) (New York: Pergamon Press)

    MATH  Google Scholar 

  2. Gupta K C, Jain Rashmi and Agrawal Pawan, Convolution integral equations involving a general class of polynomials and the multivariable H-function,Proc. Indian Acad. Sci. 105 (1995) 187–192

    Article  MATH  Google Scholar 

  3. Jain Rashmi, Double convolution integral equations involving the general polynomials,Ganita Sadesh 4 (1990) 99–103

    MATH  Google Scholar 

  4. Raina R K and Koul C L, On convolution integral equations,Indian J. Pure Appl. Math. 13 (1982) 362–369

    MATH  MathSciNet  Google Scholar 

  5. Srivastava H M, A contour integral involving Fox’s H-function,Indian J. Math. 14 (1972) 1–6

    MATH  MathSciNet  Google Scholar 

  6. Srivastava H M and Buschman R G,Convolution integral equations with special function kernels (1977) (New York/London/Sydney/Toronto: Halsted Press)

    MATH  Google Scholar 

  7. Srivastava H M and Buschman R G,Theory and applications of convolution integral equations (1992) (Dordrecht/Boston/London: Kluwer Academic Publishers)

    MATH  Google Scholar 

  8. Srivastava H M and Daoust M C, Certain generalized Neumann expansions associated with the Kampé de Fériet function,Nederl. Akad. Wetensch. lndag. Math. 31 (1969) 449–457

    MathSciNet  Google Scholar 

  9. Srivastava H M and Garg M, Some integrals involving a general class of polynomials and the multivariable H-function,Rev. Roumaine Phys. 32 (1987) 685–692

    MATH  MathSciNet  Google Scholar 

  10. Srivastava H M, Gupta K C and Goyal S P,The H-functions of one and two variables with applications (1982) (New Delhi: South Asian Publishers)

    MATH  Google Scholar 

  11. Srivastava H M, Koul C L and Raina R K, A class of convolution integral equations,J. Math. Anal. Appl. 108 (1985) 63–71

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Rajasthan, 302 004, Jaipur, India

    Mridula Garg & Mahesh Kumar Gupta

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  1. Mridula Garg
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  2. Mahesh Kumar Gupta
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Garg, M., Gupta, M.K. Double convolution integral equations involving a general class of multivariable polynomials and the multivariableH-functions. Proc. Indian Acad. Sci. (Math. Sci.) 107, 27–33 (1997). https://doi.org/10.1007/BF02840471

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  • DOI: https://doi.org/10.1007/BF02840471

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