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arXiv math-ph/0306004math-phcond-matmath.MPmath.NT
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包含四个Macdonald函数的积分及其与7 zeta(3)/2的关系

Integrals involving four Macdonald functions and their relation to 7zeta(3)/2

Cyril Furtlehner, Stéphane Ouvry

摘要:

将一类多元多重积分改写为一类涉及四个修正贝塞尔函数乘积的简单积分。后者被证明与7zeta(3)/2有关。一个推广到2n个集成变量,只产生zeta在奇数参数。

英文摘要:

A family of multiple integrals over four variables is rewritten in terms of a family of simple integrals involving the product of four modified Bessel (Macdonald functions). The latter are shown to be related to 7zeta(3)/2. A generalization to 2n integration variables is given which yields only zeta at odd arguments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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