Operational Calculus Based on the Two-sided Laplace Integral |
Contents
GENERAL INTRODUCTION | 1 |
THE FOURIER INTEGRAL AS BASIS OF THE OPERA | 7 |
ELEMENTARY OPERATIONAL IMAGES | 22 |
Copyright | |
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Common terms and phrases
Abel's theorem absolute convergence admittance analogous applied asymptotic Bessel function boundary Cesàro limit chapter coefficients composition product connexion corresponding d-function definition integral denotes derived difference equation differential equation Dirichlet series discussed domain of convergence e-pt easily electrical networks electromotive force equal example exponential expression factor finite formula frequency given Green function hypergeometric identity II(p imaginary axis impedance impulse function integral equation inversion integral Laplace integral leads limit of integration limited total fluctuation Moreover obtained one-sided originals operational calculus operational relation p²+1 path of integration poles polynomials power series respect result right-hand member shift rule sifting integral simple singularity sinh solution step function Stieltjes integral strip of convergence Tauber theorems term by term theory transformation transposing transposition two-sided uniform convergence unit function valid variable vergence voltage whilst zero