A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...

We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...

Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...

Dynamic inequalities and integral equations on time scales represent a unifying framework that seamlessly bridges discrete and continuous analysis. By generalising classical inequalities such as those ...