An Apparatus for Evaluating Elliptic Integrals
نویسندگان
چکیده
منابع مشابه
Integrals involving complete elliptic integrals
We give a closed-form evaluation of a number of Erd elyi-Kober fractional integrals involving elliptic integrals of the rst and second kind, in terms of the 3F2 generalized hypergeometric function. Reduction formulae for 3F2 enable us to simplify the solutions for a number of particular cases. c © 1999 Elsevier Science B.V. All rights reserved.
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Abstract. Symmetric elliptic integrals, which have been used as replacements for Legendre’s integrals in recent integral tables and computer codes, are homogeneous functions of three or four variables. When some of the variables are much larger than the others, asymptotic approximations with error bounds are presented. In most cases they are derived from a uniform approximation to the integrand...
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ژورنال
عنوان ژورنال: Proceedings of the Physical Society of London
سال: 1915
ISSN: 1478-7814
DOI: 10.1088/1478-7814/28/1/309