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arXiv 1806.07962math.CAmath-phmath.MP
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Russell型积分的推广

Generalizations of Russell-style integrals

Mark W. Coffey

摘要:

首先定积分了W. H. L.罗素,几乎所有的三角函数都是用被积函数,都是导出的,而且许多是推广的.然后给出了一个列表中的罗素式的Amdeberhan和莫尔积分恒等式的推广。最后,我们简要和非全面的说明进一步研究的方向,包括显着的推广到椭圆函数。

英文摘要:

First some definite integrals of W. H. L. Russell, almost all with trigonometric function integrands, are derived, and many generalized. Then a list is given in Russell-style of generalizations of integral identities of Amdeberhan and Moll. We conclude with a brief and noncomprehensive description of directions for further investigation, including the significant generalization to elliptic functions.

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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