Evaluation of Infinite Series by Integrals
نویسندگان
چکیده
We examine a large class of infinite triple series and establish general summation formula. This is done by expressing the in terms definite integrals involving arctangent function that are evaluated turn closed forms. Numerous explicit formulae tabulated for whose values result elegant expressions as π, ln2 Catalan constant G.
منابع مشابه
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10142444