Inversion of Integral Equation Using Laplace Transform

The paper presents a reflection on the importance of replication studies in the field of mathematics to explain an inversion of convolution integral equation of Volterra type which contains modified polynomial obtained by providing appropriate parameters to generalized Hermite polynomial and to achieve the objective, we used Laplace transform, and one may use some other transforms depending upon the type of integral equation. The proposed approach may also use to compute the integral equation involving various well-known classical polynomials like Lagurre, Bessel, Jacobi, and Legendre. We believe that many more results can be achieved by selecting appropriate parameters involved in generalized Hermite polynomial.