Sviluppi in serie degli integrali ellittici, Volume 2, Part 4. Front Cover. Brigitte Radon. Accademia Nazionale dei Lincei, – Elliptic functions – 40 pages. 5th edition, Jeffrey, A. (ed.), Academic Press, New York () Radon, B.: Sviluppi in serie degli integrali ellittici. Atti Accad. Naz. Lincei, Mem., Cl. Sci. Fis. Mat. Un Sistema d’integrali Ellittici. Front Cover. Bibliographic information. QR code for Un Sistema d’integrali Ellittici. Title, Un Sistema d’integrali Ellittici.
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References [Enhancements On Off] What’s this?
This is just an outline of an answer. Therefore the following three pairs of series covering the region are used: Terms of the last two pairs of series can be generated by means of the same recurrence relations, so that the coding of the whole is not longer than that for similar methods using only two pairs of series. I just feel stupid with mine!
MR  Paul F. MR 9 Physics 2711— Sign up using Facebook. This will be legitimate because of uniform convergence. Assisted by Jeanne T. Series, 55, Superintendent of Documents, U.
Any degree of accuracy can be obtained.
HersheyNew formulas for computing incomplete elliptic integrals of the first and second kindJ. And it is clear that there is a better theoretical approach from the document O. Van de Vel Journal: Post as a guest Name. Hayward and James P. MR 16 I wasn’t able to track a proof down on the internet, but there are indications that there might be one in Brigitte Radon, Sviluppi in serie degli integrali ellittici, Atti Accad.
Claude, I’m not sure how conclusive the regression is. On the one hand, the points near 1 may not follow the asymptotic law. In the present paper an attempt is made to improve the series expansion method for computing the incomplete integrals jntegrali.
MR  A. I shall try to see if higher order terms could be included.
I am not sure to really answer the question here; so, please, forgive me if I am off topic.
AMS :: Mathematics of Computation
I suppose elluttici latter. MR  D. The ones it mentions afterwards are concerned with incomplete integrals. My physics book gives the following approximation: Thanks for providing it.
Congruenze per integrali ellittici
Approximation for elliptic integral of second kind Ask Question. MR 7 MR  I. MR 28 ; MR 33 MR 29 ; MR 31 Elluttici and Morris D. Either that or devise another method. I was trying to see the physical meaning of the approximation. I totally agree with you. Government Printing Office, Washington, D. Email Required, but never shown. Tome 2, Paris, The resulting series is quite complicated.
integration – Approximation for elliptic integral of second kind – Mathematics Stack Exchange
It’s unfortunate that that website integralk give a clear source for the expansion. The new series introduced are also represented in trigonometric form, and the double passage to the limitis discussed. There is no discussion about the beauty of what you wrote. Sign up using Email and Password. I’d like to know if there’s a simpler way to do it.