Summation of certain trigonometric series with logarithmic coefficients
نویسندگان
چکیده
The sums of three trigonometric series with logarithmic coefficients are derived by extending an approach first utilized Lerch. By applying Frullani's theorem to two these series, non-trivial integrals involving hyperbolic functions evaluated in terms the digamma function.
منابع مشابه
Closed-form Summation of Some Trigonometric Series
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ژورنال
عنوان ژورنال: The journal of analysis
سال: 2021
ISSN: ['0971-3611']
DOI: https://doi.org/10.1007/s41478-021-00327-4