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2013a.00715 Khattri, Sanjay Kumar Series expansion of functions with He's homotopy perturbation method. Int. J. Math. Educ. Sci. Technol. 43, No. 5, 677-684 (2012). 2012 Taylor \& Francis, Abingdon, Oxon EN I75 homotopy perturbation method differential equations Taylor series series expansions

doi:10.1080/0020739X.2011.622799

Summary: Finding a series expansion, such as Taylor series, of functions is an important mathematical concept with many applications. Homotopy perturbation method (HPM) is a new, easy to use and effective tool for solving a variety of mathematical problems. In this study, we present how to apply HPM to obtain a series expansion of functions. Consequently, this article presents an alternative approach, contrary to the traditional Taylor series method, for finding a series expansion of functions. The developed approach can be incorporated in an undergraduate course.