论文标题

第二个SECANT ZETA功能及其抗周期性化评估为$ 1/\ sqrt {n} $

The second secant zeta function and its anti-periodization evaluated at $1/\sqrt{n}$

论文作者

Welfert, Bruno D.

论文摘要

研究了由流体动力学应用引起的2个周期Zeta Zeta函数$ψ(R)$及其$ 1 $ -Antiperiodization $ f(r)=(ψ(r)-α(r+1))/2 $。特别是,使用$ψ$作为ABEL方程所满足的身份的重新制定,确定了正整数$ n $的$ 1/\ sqrt {n} $的值。

The 2-periodic secant zeta function $ψ(r)$ and its $1$-antiperiodization $f(r)=(ψ(r)-ψ(r+1))/2$, arising from a fluid dynamics application, are investigated. In particular, their values at $1/\sqrt{n}$ for positive integers $n$ are determined, using a reformulation of an identity satisfied by $ψ$ as an Abel equation.

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