Representation of Lie groups and special functions
Representation of Lie groups and special functions
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DOI：
10.1007/978-94-011-3538-2
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
N. J. Vilenkin;A. Klimyk
中科院分区：
文献类型：
--
作者：
N. J. Vilenkin;A. Klimyk
起初，数学分析中只研究初等函数。然后引入新的函数来计算积分。它们被命名为特殊功能：正弦积分、多项式积分、指数函数积分、概率积分等，其中椭圆积分最为重要。它们与某些曲线的弧的整流有关。显着的想法阿贝尔取代这些积分相应的反函数导致创建理论的椭圆函数。
At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were namedspecial functions: integral sine, logarithms, the exponential function, the probability integral and so on. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the theory of elliptic functions.