Series over Bessel functions as series in terms of Riemann's zeta function

التفاصيل البيبلوغرافية
العنوان: Series over Bessel functions as series in terms of Riemann's zeta function
المؤلفون: Tričković, Slobodan B., Stanković, Miomir S.
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, 11M35, 33B15, 33E20
الوصف: Relying on the Hurwitz formula, we find sums of the series over sine and cosine functions through the Hurwitz zeta function. Using another summation formula for these trigonometric series, we find finite sums of some series over the Riemann zeta function.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.13004
رقم الأكسشن: edsarx.2407.13004
قاعدة البيانات: arXiv