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) = ∫C f(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.

SPP 2003 Proceedings Cover

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Published

2003-10-22

Issue

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

Section

Poster Session PA

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How to Cite

[1]
“Generalized Laplace method”, Proc. SPP, vol. 21, no. 1, p. SPP-2003-PA-30, Oct. 2003, Accessed: Apr. 30, 2026. [Online]. Available: https://proceedings.spp-online.org/article/view/SPP-2003-PA-30