Generalized Integral Transforms with the Homotopy Perturbation Method

Jules Sadefo-Kamdem
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Jules Sadefo-Kamdem: LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier
Authors registered in the RePEc Author Service: Jules SADEFO KAMDEM

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Abstract: This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. The Esscher, Fourier, Hankel, Laplace, Mellin and Stieljes integrals transforms are particular cases of our generalized integral transform. Our method is of practical importance in order to derive new integration formulae, to approximate certain difficult integrals as well as to calculate the expectation of certain nonlinear functions of random variable.

Keywords: He’s homotopy method; Integral transforms; Applied probability; Type G and spherical distributions; Expected utility (search for similar items in EconPapers)
Date: 2014-06
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Published in Journal of Mathematical Modelling and Algorithms in Operations Research, 2014, 13 (2), pp.209-232. ⟨10.1007/s10852-013-9232-x⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-02901783

DOI: 10.1007/s10852-013-9232-x

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