On a variant of the Meijer integral transformation
On some differential and integro-differential equations associated with Jaocobi's differential equation.
On the Meijer transformation.
On the Operational Solution of a System of Fractional Differential Equations
MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and...
On the unification of generalized Hermite and Laguerre polynomials.
Operational calculus and Fourier transform on Boehmians
We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters , translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.
Operational calculus for the continuous Legendre transform with applications.
Operational identities for circular and hyperbolic functions and their generalizations.
Operational relations related to a function defined by a generalized Rodrigues' formula.