• Convolution integral equations involving a general class of polynomials and the multivariableH-function

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      https://www.ias.ac.in/article/fulltext/pmsc/105/02/0187-0192

    • Keywords

       

      The convolution integral equation; multivariableH-function; general class of polynomials; Laplace transform

    • Abstract

       

      In this paper we first solve a convolution integral equation involving product of the general class of polynomials and theH-function of several variables. Due to general nature of the general class of polynomials and theH-function of several variables which occur as kernels in our main convolution integral equation, we can obtain from it solutions of a large number of convolution integral equations involving products of several useful polynomials and special functions as its special cases. We record here only one such special case which involves the product of general class of polynomials and Appell's functionF3. We also give exact references of two results recently obtained by Srivastavaet al [10] and Rashmi Jain [3] which follow as special cases of our main result.

    • Author Affiliations

       

      K C Gupta1 Rashmi Jain1 Pawan Agrawal1

      1. Department of Mathematics, M.R. Engineering College, Jaipur - 302017, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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