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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Claude Leibovici k 11 57 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. If you want wllittici test things like that, perhaps save yourself a bit of trouble and use O.

Thanks for providing it.

On the series expansion method for computing incomplete elliptic integrals of the first and second kinds. MR 13 MR [3] A. The new series introduced are also represented in trigonometric form, and the double passage to the limitis discussed. Claude, I’m not sure how conclusive the regression is. MR 15 Lee-WhitingFormulas for computing incomplete elliptic integrals of the first and second kindsJ. MR [10] I. Byrd and Morris D. Van de Vel Journal: Can someone help me along? Government Printing Office, Washington, D.

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Series, 55, Superintendent of Documents, U. Physics 2711— I was trying to see the physical meaning of the approximation. My physics book gives the following approximation: HersheyNew formulas for computing incomplete elliptic integrals of the first and second kindJ.

MR 7 Assisted by Jeanne T. Sign up using Email and Password. The ones it mentions afterwards are concerned with incomplete integrals.

Congruenze per integrali ellittici

Terms of the last two pairs integrail 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.

MR [14] Paul F. This is indeed a good and elegant answer! I suppose the latter. Approximation for elliptic integral of second kind Ask Question.

Un Sistema d’integrali Ellittici – Google Books

This is just an outline of an answer. StegunHandbook of mathematical functions with formulas, graphs, and mathematical tablesNational Bureau of Standards Applied Mathematics Series, vol. Any degree of accuracy can be obtained.

It’s unfortunate that that website doesn’t give a clear source for the expansion. Email Required, but never shown. MR 16 There is no discussion about the beauty of what you wrote. I just feel stupid with mine!

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And it is clear that there is a better theoretical approach from the document O. Sign up or log in Sign up using Google. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

EUDML | Congruenze per integrali ellittici

And even to get the higher terms without too much effort. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. Post as a guest Name. I shall try to see if higher order terms could be included. On the one hand, the points near 1 may not follow the asymptotic law.

I totally agree with you.