Double convolution integral equations involving a general class of multivariable polynomials and the multivariableH-functions |
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Authors: | Mridula Garg Mahesh Kumar Gupta |
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Institution: | (1) Department of Mathematics, University of Rajasthan, 302 004 Jaipur, India |
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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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Keywords: | Double Laplace transform convolution theorem for Laplace transform the double convolution integral equation a general class of multivariable polynomials multivariableH-function |
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