Euler-Maclaurin Summation and Schlomilch Series
نویسندگان
چکیده
منابع مشابه
Euler–Maclaurin summation and Schlömilch series
A method for analysing a class of divergent series is developed from the Euler– Maclaurin summation formula. The conditions that the summand must satisfy are explored, and a significant simplification is obtained for cases where the summation ranges over all integers. As an example, we consider the Ewald representation for Schlömilch series, and show that this includes Twersky’s dual series for...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2009
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/hbp022