ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS - ScienceDirectdoi:10.1016/B978-0-08-009244-7.50030-3Elliptic functionsCiteSeerX - Scientific documents that cite the following paper: Elliptic Functions and Elliptic Integrals. Number 170A.V. LebedevR.M. FedorovaA Guide to Mathematical Tables
Elliptic Integrals and Elliptic Functions 作者:Takashi Takebe 出版社:Springer 副标题:Moscow Lectures (ML, volume 9) 出版年:2023-5 丛书:Moscow Lectures ISBN:9783031302640 豆瓣评分 目前无人评价 内容简介· ··· This book gives a comprehensive introduction to those parts of the theory of elliptic...
References to Chapter 8-ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS Author links open overlay panel, Show more Add to Mendeley Share Cite https://doi.org/10.1016/B978-0-08-009244-7.50030-3Get rights and content Access through your organization ...
elliptic integralselliptic functionsarithmetic geometric meanincomplete elliptic integralstheta functionsComplete Integrals of the First and Second KindIncomplete Elliptic IntegralsElliptic Functions and Theta FunctionsNumerical AspectsRemarks and Comments for Further ReadingExercises and Further Examples...
\begin{aligned} \sum_{w\in\mathbb{C}/\Lambda}\mathrm{ord}_{w}(f)w & =\frac{1}{2\pi i}\int_{\partial D}\frac{zf^{\prime}(z)}{f(z)}dz \\ & =\frac{1}{2\pi i}\left(\int_{a}^{a+\omega_{1}}+\int_{a+\omega_{1}}^{a+\omega_{1}+\omega_{2}}+\int_{a...
elliptic functions and elliptic integrals 美国数学会翻译出版 椭圆函数，与那么多数学大师的名字联系在一...
With careful standardization of argument conventions, the Wolfram Language provides full coverage of elliptic integrals, with arbitrary-precision numerical evaluation for complex values of all parameters, as well as extensive symbolic transformations and simplifications. EllipticK — complete elliptic integral ...
General remarks . Any integral of the type ∫ R \\(\\left( {z,{Z^{\\frac{1}{2}}} ight)\\) is a rational function of x and y and Z is a polynomial of the third or fourth degree in z with real coefficients and no repeated factors is called an elliptic integral.doi...
Definite Integrals 参考 ^These series can only converge if 0<=abs(k^2)<=1, but these functions are not defined elsewhere anyways. ^For non-series and non-hypergeometric solutions, see the general case. ^The am function is the Jacobi amplitude function; it is multi-valued on the complex ...
V. The Direct Numerical Calculation of Elliptic Functions and Integrals. London: Cambridge University Press, 1924.Prasolov, V. and Solovyev, Y. Elliptic Functions and Elliptic Integrals. Providence, RI: Amer. Math. Soc., 1997.Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and ...