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

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    • Keywords

       

      Double Laplace transform; convolution theorem for Laplace transform; the double convolution integral equation; a general class of multivariable polynomials; multivariableH-function

    • 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.

    • Author Affiliations

       

      Mridula Garg1 Mahesh Kumar Gupta1

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

       
  • Proceedings – Mathematical Sciences | News

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