In mathematics, the Clausen function, introduced by Thomas Clausen (1832), is a transcendental, special function of a single variable. It can variously be ... |
The Clausen functions are defined by Cl_n(x)={S_n(x)=sum_(k=1)^(infty)(sin(kx))/(k^n) n even; C_n(x)=sum_(k=1 |
| Clausen function |  |
В математике функция Клаузена, введенная Томасом Клаузеном, представляет собой трансцендентную специальную функцию одной переменной. Ее можно по-разному выражать в виде определенного интеграла, тригонометрического ряда и различных других форм. Википедия (Английский язык)
Mathematical function, suitable for both symbolic and numerical manipulation. The Clausen function is defined as if n is even and if n is odd. |
We derive explicit closed-form formulas for the standard Clausen functions in terms of the Hurwitz zeta function, where m is a positive integer. |
Thomas Clausen (1801–1885) was a Danish mathematician, astronomer, and geophysicist who introduced the functions Cl n (x), defined in terms of polylogarithms. |
Videolar 1 июл. 2024 г. · The Clausen function looks, and sounds, like something between a sine wave and a sawtooth wave. |
The Clausen function Cl2(x) arises in several applications. A large number of indefinite integrals of logarithmic or trigonometric func- tions can be expressed ... |
Twenty-digit Chebyshev coefficients are given for the Clausen function Cl2(x), allowing a fast computation of this function for real values of the argument ... |
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