## A Course of Integrational and Operational Calculus: With Applications to Problems of Physics and Electrotechnics |

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a—ioo according Accordingly Appendix assume asymptotic asymptotic expansion basic integrator Bessel function boundary conditions branch-point Chapter coefficients commutative law complex integral defined definition formula denote derivative differential equation double integral electromotive force employ equality expansion theorem explicit time function factor function F Green function Hence homogeneous equation identity imaginary axis integral equation integral kernel integral of definition integral operators integral theorem integrand integrational and operational integrational expression introduce inverse operator irrational integrators Jordan's lemma kernel linear loop modified integral notation obtain Obviously operational calculus operator F origin p-plane path of integration poles positive values primary function problem properties rational functions region residue calculus rest-term result right hand side rule small positive number solution symbolic method tends to infinity tends to zero term by term uniform convergence uniformly unit-function variable vector voltage write x—ut x+ut