Fourier series of higher-order Bernoulli functions and their applications
نویسندگان
چکیده
In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.
منابع مشابه
Series of sums of products of higher-order Bernoulli functions
It is shown in a previous work that Faber-Pandharipande-Zagier's and Miki's identities can be derived from a polynomial identity, which in turn follows from the Fourier series expansion of sums of products of Bernoulli functions. Motivated by and generalizing this, we consider three types of functions given by sums of products of higher-order Bernoulli functions and derive their Fourier series ...
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عنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017