Generalized Laplace method
Abstract
We show the versatility of the integral representation as solution to Laplace-type equation. We consider the second-order homogeneous differential equation y"(x) − 2xy'(x) − 2νy(x) = 0 for integer ν. Complex integrals of the form y(x) = ∫Cf(t) K(x,t) dt with some kernel K(x,t) appear as the general solution. We further investigate their explicit forms and generating functions.
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Creating essential bridges uniting physics, society and industry
22-25 October 2003, University of San Carlos, Cebu City