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THE EXPANSION THEOREM
EXTENSION OF THE EXPANSION THEOREM
4 other sections not shown
admittance function h(t alternating current alternating voltage analysis applied voltage arise in electric asymptotic expansion asymptotic series Bessel function binomial theorem Bromwich contour integral cable canonical equations Carson integral equation characteristic impedance classic method complex plane condenser Consequently convergent denote discontinuous function discussed in Chapter electric circuit problems electric circuit theory electric network electromotive force evaluate example explicit solution exponential finite Fourier integral Heaviside method Heaviside's expansion theorem Heaviside's last theorem impedance function indicial admittance function inductance infinite integrals integral theorem integrand inverse powers line integral mathematical mesh operational calculus operational expression operational formulae p~n by tn/n parameter performing the indicated pole power series solution replacing p~n residue residue theorem resistance roots seen series expansion shown in Fig singularities spotting function superposition theorem Taylor's theorem terminal conditions tion transformation transient oscillations transmission line unit function unit impulse unit voltage variable write written Z(jco zero