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Integral Transforms With The Homotopy Perturbation Method And Some Applications


  • Jules Sadefo Kamdem

    () (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UM3 - Université Paul-Valéry - Montpellier 3 - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - INRA Montpellier - Institut national de la recherche agronomique [Montpellier] - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)


This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the Stieljes transform and some applications.

Suggested Citation

  • Jules Sadefo Kamdem, 2011. "Integral Transforms With The Homotopy Perturbation Method And Some Applications," Working Papers hal-00580023, HAL.
  • Handle: RePEc:hal:wpaper:hal-00580023
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    References listed on IDEAS

    1. Fotopoulos, Stergios B., 2005. "Type G and spherical distributions on," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 23-32, April.
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    More about this item


    Random variable; He's homotopy method; integral transforms; linear equations; Type G and spherical distributions; Random variable.;

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