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

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according Accordingly Appendix arbitrarily small positive assume asymptotic expansion basic integrator Bessel function boundary conditions branch-point Chapter coefficients commutative law complex integral course deduced 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 expressions integrator F introduce inverse operator irrational integrators Jordan's lemma kernel 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 subsists symbolic method tends to infinity tends to zero term by term uniform convergence uniformly unit-function variable vector voltage write