Generalized Laplace method

Authors

Heidi B. Pilapil ⋅ PH National Institute of Physics, University of the Philippines Diliman
Roland Cristopher F. Caballar ⋅ PH National Institute of Physics, University of the Philippines Diliman
Ruel E. Perez ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

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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Issue

2003: Proceedings of the 21st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2003-PA-30

Section

Poster Session PA

Published

2003-10-22

How to Cite

[1]

HB Pilapil, RCF Caballar, RE Perez, and EA Galapon, Generalized Laplace method, Proceedings of the Samahang Pisika ng Pilipinas 21, SPP-2003-PA-30 (2003). URL: https://proceedings.spp-online.org/article/view/SPP-2003-PA-30.