%0 Journal Article
%T Evaluation of Generalized Error Function via Fast-Converging Power Series
%A Serdar Beji
%J Advances in Pure Mathematics
%P 495-514
%@ 2160-0384
%D 2024
%I Scientific Research Publishing
%R 10.4236/apm.2024.146028
%X A generalized form of the error function, <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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, which is directly associated with the gamma function, is evaluated for arbitrary real values of <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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 by employing a fast-converging power series expansion developed in resolving the so-called Grandi&#8217;s paradox. Comparisons with accurate tabulated values for well-known cases such as the error function are presented using the expansions truncated at various orders.
%K Generalized Error Function
%K Gamma Function
%K Grandi&#8217
%K s Paradox
%K Fast-Converging Power Series
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=134065