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Keyword: Euler-Maclaurin formula ×Clear all

1 claim from 1 paper

1. Mathematics › Mathematical functions and polynomials

   Sinc integrals and tiny numbers

   Bäsel and Baillie · Elemente der Mathematik · 2016

   The authors use a Borwein result and the Euler-Maclaurin formula to evaluate integrals of products of many sinc functions, whose values differ from π/2 by extremely tiny amounts.

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   1. Supported · 71%The tenth sinc integral in the sequence has 68100152 sinc factors, and its deviation t from π/2 is about 9.65 × 10^-554381308.“For example, the integrand of the tenth integral in the sequence is the product of 68100152 sinc functions. The corresponding $t$ is approximately $9.6492736004286844634795531209398105309232 \cdot 10^{-554381308}$.”