Diffusion Functions for Small Argument

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1962 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 4, pages 227-229 (issn: 0036-1445, eissn: 1095-7200,

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Authors: Gautschi, Walter;

doi: 10.1137/1004060

Diffusion Functions for Small Argument

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Abstract

Series expansions are given which are rapidly convergent when x is small. These are derived by noting the relation to theta functions and applying Poisson- s transformation formulas which convert small arguments into large ones.

Keywords

special functions

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