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On some generalisations of the error function

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In this talk I will explain the role of certain special functions, such as the error and complementary error function, in problems of asymptotic and uniform asymptotic expansions derived from integrals of Laplace type. A possible generalisation of the error function will be presented, motivated by a singular perturbation problem, and several analytical and computational properties of this new function will be discussed.

Joint work with Nico M. Temme (CWI, Amsterdam).

This talk is part of the Applied and Computational Analysis Graduate Seminar series.

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