MarkWayne
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 Jun10 awarded Scholar Jun10 accepted Surface area of sphere in N dimensions; and a failed extension to ellipsoids Jun5 awarded Editor Jun5 revised Surface area of sphere in N dimensions; and a failed extension to ellipsoids corrected sign Jun5 comment Surface area of sphere in N dimensions; and a failed extension to ellipsoids Incidentally, this explains why the method described in the OP works for the sphere. $|\nabla f|=1$ there. Jun5 answered Surface area of sphere in N dimensions; and a failed extension to ellipsoids Jun4 comment Surface area of sphere in N dimensions; and a failed extension to ellipsoids Good comment. Unfortunately, I don't understand it! Can you elaborate? I have been trying to show that "$E_N$ is the integral of $1/(\partial_n f)$ over the ellipsoid but have so far failed. If you post it as a correct answer I will certainly accept it. Jun4 asked Surface area of sphere in N dimensions; and a failed extension to ellipsoids Feb24 asked Cauchy representation and branch point order Feb18 awarded Promoter Feb12 awarded Supporter Feb12 asked Branch-point order and Cauchy representation Jan14 answered Derivation of the Angular Component of Spherical Harmonics Jan16 comment Solving to get free falling coordinate as function of arbitrary coordinate I'm having trouble with the language here. Paraphrasing: "The solution to this differential equation is ...", then: "How can it be solved?" Do you mean to ask: "How does one show that this solution (2nd equation) satisfies the equation above (1st equation)?"? May14 comment Special case of Meijer G function J.M.: see comment below ying's answer. May14 comment Special case of Meijer G function Thanks for this answer. In fact, I arrived at the Meijer G function via exactly just this integral expression. The answer to J.M.'s question follows from just this observation. The integral arises in the determination of the Maxwellian averaged cross section times the velocity for a cross section assumed to be of 'Gamow form.' In fact, I think this is irreducible. Apr26 awarded Student Apr26 comment Special case of Meijer G function Help appreciated -- anybody? Apr24 awarded Autobiographer Apr24 asked Special case of Meijer G function