On Simultaneous Operational Calculus

Heaviside's operational calculus involving one parameter has been used by many writers to obtain many well-known properties and theorems in pure and applied mathematics. But, so far as is known, simultaneous symbolic calculus was used only by Dr. Balth van der Pol to obtain certain integrals involving the Bessel functions. In the present note an attempt is made to use the simultaneous operational methods to obtain results which ordinarily would involve long and tedious calculations.