Generalized Laplace method

Authors

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

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.