This study deals with evaluation of inverse integral transforms through numerical integration.
It focuses on vector spaces, matrix algebra, differential equations (especially for boundary value problems), integral equations, integral transforms, infinite series, and complex variables.
Integral Transforms, Operational Calculus.
Inversion of integral transforms gives (3.5).
The classical integral transforms are used in the solution formulation.
An analytic solution is obtained without performing integral transforms.
Next, we develop their composition formulas by applying the integral transforms.
The above example is a special case of a generalized sampling theorem for generalized integral transforms.
Thereafter, some remarkable integral transforms were associated with different analogues in a q-calculus context.
Next the analogue of this theorem was established for many other integral transforms (cf. [6 9]).
The solution method is based on integral transforms and singular integral equations.
